39:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico:@0.721207:0.043661:0.926911:0.043661:0.926911:0.024916:0.721207:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La laboriosa pero :@0.740294:0.209705:0.854206:0.209705:0.854206:0.194765:0.740294:0.194765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interesante técnica del :@0.740294:0.224834:0.889568:0.224834:0.889568:0.209894:0.740294:0.209894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trencadís, que significa :@0.740294:0.239963:0.889709:0.239963:0.889709:0.225023:0.740294:0.225023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
roto o quebrado, es una :@0.740294:0.255092:0.898243:0.255092:0.898243:0.240152:0.740294:0.240152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
técnica de cerámica :@0.740294:0.270221:0.872836:0.270221:0.872836:0.255281:0.740294:0.255281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rota que se utiliza para :@0.740294:0.285349:0.888382:0.285349:0.888382:0.270410:0.740294:0.270410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el revestimiento de :@0.740294:0.300478:0.867595:0.300478:0.867595:0.285539:0.740294:0.285539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
superficies, especialmente :@0.740294:0.315607:0.913419:0.315607:0.913419:0.300668:0.740294:0.300668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en las fachadas, parques, :@0.740294:0.330736:0.902090:0.330736:0.902090:0.315796:0.740294:0.315796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
jardines, puentes y diseños :@0.740294:0.345865:0.916500:0.345865:0.916500:0.330925:0.740294:0.330925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interiores. Esta técnica :@0.740294:0.360994:0.885796:0.360994:0.885796:0.346054:0.740294:0.346054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aporta una gran belleza a :@0.740294:0.376123:0.907284:0.376123:0.907284:0.361183:0.740294:0.361183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las obras, a la vez que resiste :@0.740294:0.391252:0.924678:0.391252:0.924678:0.376312:0.740294:0.376312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mejor el paso del tiempo.:@0.740294:0.406381:0.904214:0.406381:0.904214:0.391441:0.740294:0.391441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga y escribe sobre :@0.740294:0.663497:0.892016:0.663497:0.892016:0.648557:0.740294:0.648557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otros lugares donde :@0.740294:0.678626:0.876481:0.678626:0.876481:0.663686:0.740294:0.663686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también se utilizó esta :@0.740294:0.693755:0.891362:0.693755:0.891362:0.678815:0.740294:0.678815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
técnica. Ilustra con :@0.740294:0.708884:0.866588:0.708884:0.866588:0.693944:0.740294:0.693944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imágenes.:@0.740294:0.724013:0.807825:0.724013:0.807825:0.709073:0.740294:0.709073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Azulejo de Gaudi  :@0.742436:0.632496:0.862635:0.632496:0.862635:0.617556:0.742436:0.617556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Parc Guell Barcelona:@0.742436:0.647625:0.876121:0.647625:0.876121:0.632685:0.742436:0.632685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.740294:0.145093:0.906668:0.145093:0.906668:0.128146:0.740294:0.128146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática :@0.740294:0.161735:0.830471:0.161735:0.830471:0.145301:0.740294:0.145301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y arte:@0.740294:0.178377:0.780812:0.178377:0.780812:0.161943:0.740294:0.161943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.1.3 Potenciación de números reales:@0.073089:0.136836:0.353764:0.136836:0.353764:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos que la potenciación, como operación matemática, se considera una :@0.073089:0.167774:0.710300:0.167774:0.710300:0.151340:0.073089:0.151340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicación abreviada. En ella se diferencian dos partes: la base, que es el número que :@0.073089:0.184415:0.709930:0.184415:0.709930:0.167982:0.073089:0.167982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se multiplicará, y el exponente, que nos indica la cantidad de veces que se multiplicará :@0.073089:0.201057:0.710873:0.201057:0.710873:0.184623:0.073089:0.184623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la base por sí misma.:@0.073089:0.217699:0.222832:0.217699:0.222832:0.201265:0.073089:0.201265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos el siguiente ejemplo::@0.073089:0.248639:0.312910:0.248639:0.312910:0.232205:0.073089:0.232205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una ciudad se le ha encargado a un artista elaborar tres murales con cerámica rota. :@0.073089:0.279579:0.710615:0.279579:0.710615:0.263145:0.073089:0.263145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estos tienen forma cuadrangular y sus lados, respectivamente, miden 4,5 m, 5,2 m; :@0.073089:0.296221:0.710372:0.296221:0.710372:0.279787:0.073089:0.279787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y    32m. ¿Qué cantidad de cerámica se requiere exactamente para elaborar los  :@0.073089:0.312856:0.710365:0.312856:0.710365:0.296423:0.073089:0.296423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tres murales? :@0.073087:0.329498:0.172313:0.329498:0.172313:0.313064:0.073087:0.313064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para determinar la cantidad de cerámica, es necesario sumar el área de cada uno de los :@0.073087:0.360438:0.710899:0.360438:0.710899:0.344004:0.073087:0.344004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
murales.:@0.073087:0.377080:0.133898:0.377080:0.133898:0.360646:0.073087:0.360646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.325211:0.408020:0.335096:0.408020:0.335096:0.391614:0.325211:0.391614:0.000000
T:@0.335028:0.411186:0.339760:0.411186:0.339760:0.401621:0.335028:0.401621:0.000000
           :@0.339722:0.408014:0.439253:0.408014:0.439253:0.391580:0.339722:0.391580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.343679:0.407459:0.359013:0.407459:0.359013:0.393743:0.343679:0.393743:0.000000
A:@0.362878:0.408014:0.372763:0.408014:0.372763:0.391608:0.362878:0.391608:0.000000
1:@0.372682:0.411186:0.377919:0.411186:0.377919:0.401605:0.372682:0.401605:0.000000
1:@0.381829:0.407459:0.397162:0.407459:0.397162:0.393743:0.381829:0.393743:0.000000
A:@0.401028:0.408014:0.410913:0.408014:0.410913:0.391608:0.401028:0.391608:0.000000
2:@0.410832:0.411186:0.416069:0.411186:0.416069:0.401605:0.410832:0.401605:0.000000
1:@0.419981:0.407459:0.435314:0.407459:0.435314:0.393743:0.419981:0.393743:0.000000
A:@0.439180:0.408014:0.449064:0.408014:0.449064:0.391608:0.439180:0.391608:0.000000
3:@0.448984:0.411186:0.454221:0.411186:0.454221:0.401605:0.448984:0.401605:0.000000
Por tener forma cuadrangular, su área se calcula elevando sus lados al cuadrado.:@0.073089:0.438951:0.651202:0.438951:0.651202:0.422517:0.073089:0.422517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.219739:0.476686:0.229624:0.476686:0.229624:0.460280:0.219739:0.460280:0.000000
T:@0.229559:0.479854:0.234292:0.479854:0.234292:0.470289:0.229559:0.470289:0.000000
             :@0.234253:0.476681:0.337908:0.476681:0.337908:0.460248:0.234253:0.460248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.238211:0.476127:0.253544:0.476127:0.253544:0.462411:0.238211:0.462411:0.000000
I:@0.257410:0.476681:0.261238:0.476681:0.261238:0.460275:0.257410:0.460275:0.000000
 2 :@0.261158:0.470618:0.271052:0.469591:0.271052:0.460010:0.261158:0.461037:0.000000:0.000000:0.000000
1:@0.263465:0.478670:0.268702:0.478670:0.268702:0.469089:0.263465:0.469089:0.000000
5 1:@0.272954:0.476127:0.320727:0.476127:0.320727:0.462411:0.272954:0.462411:0.000000:0.000000:0.000000
I:@0.292152:0.476681:0.295981:0.476681:0.295981:0.460275:0.292152:0.460275:0.000000
2 :@0.295901:0.469593:0.303488:0.469593:0.303488:0.460012:0.295901:0.460012:0.000000:0.000000
2:@0.295901:0.478672:0.301138:0.478672:0.301138:0.469091:0.295901:0.469091:0.000000
I:@0.324593:0.476681:0.328421:0.476681:0.328421:0.460275:0.324593:0.460275:0.000000
2 :@0.328341:0.469593:0.335928:0.469593:0.335928:0.460012:0.328341:0.460012:0.000000:0.000000
3:@0.328341:0.478672:0.333578:0.478672:0.333578:0.469091:0.328341:0.469091:0.000000
     (4,5)    (5,2)    (  32):@0.358618:0.476681:0.554553:0.476681:0.554553:0.460248:0.358618:0.460248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.362575:0.476681:0.372460:0.476681:0.372460:0.460275:0.362575:0.460275:0.000000
T:@0.372386:0.479854:0.377119:0.479854:0.377119:0.470289:0.372386:0.470289:0.000000
5:@0.381038:0.476127:0.396371:0.476127:0.396371:0.462411:0.381038:0.462411:0.000000
2:@0.430744:0.470618:0.435981:0.470618:0.435981:0.461037:0.430744:0.461037:0.000000
1:@0.439891:0.476127:0.455224:0.476127:0.455224:0.462411:0.439891:0.462411:0.000000
2:@0.489597:0.470618:0.494834:0.470618:0.494834:0.461037:0.489597:0.461037:0.000000
1:@0.498744:0.476127:0.514077:0.476127:0.514077:0.462411:0.498744:0.462411:0.000000
2:@0.554451:0.470618:0.559688:0.470618:0.559688:0.461037:0.554451:0.461037:0.000000
A:@0.237928:0.507619:0.247813:0.507619:0.247813:0.491213:0.237928:0.491213:0.000000
T:@0.247746:0.510791:0.252478:0.510791:0.252478:0.501226:0.247746:0.501226:0.000000
 :@0.252440:0.507619:0.256471:0.507619:0.256471:0.491185:0.252440:0.491185:0.000000
5 :@0.256397:0.507064:0.276240:0.507064:0.276240:0.493348:0.256397:0.493348:0.000000:0.000000
20,25   27,04   32 :@0.276148:0.507619:0.421750:0.507619:0.421750:0.491185:0.276148:0.491185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.318835:0.507064:0.334168:0.507064:0.334168:0.493348:0.318835:0.493348:0.000000
1:@0.380701:0.507064:0.396035:0.507064:0.396035:0.493348:0.380701:0.493348:0.000000
 :@0.442433:0.507619:0.446464:0.507619:0.446464:0.491185:0.442433:0.491185:0.000000
A:@0.446390:0.507619:0.456275:0.507619:0.456275:0.491213:0.446390:0.491213:0.000000
T :@0.456201:0.510791:0.462822:0.510791:0.462822:0.501226:0.456201:0.501226:0.000000:0.000000
5 :@0.462789:0.507064:0.482632:0.507064:0.482632:0.493348:0.462789:0.493348:0.000000:0.000000
79,29m:@0.482540:0.507619:0.536382:0.507619:0.536382:0.491185:0.482540:0.491185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.536264:0.501555:0.541501:0.501555:0.541501:0.491974:0.536264:0.491974:0.000000
La potenciación de los números reales  , cumple con las siguientes propiedades::@0.073089:0.538556:0.659138:0.538556:0.659138:0.522122:0.073089:0.522122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   :@0.073089:0.569492:0.138379:0.569492:0.138379:0.553059:0.073089:0.553059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.112499:0.569492:0.134422:0.569492:0.134422:0.553086:0.112499:0.553086:0.000000:0.000000:0.000000
[:@0.138306:0.569354:0.153639:0.569354:0.153639:0.555305:0.138306:0.555305:0.000000
;  ,   :@0.164662:0.569492:0.206801:0.569492:0.206801:0.553059:0.164662:0.553059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.171735:0.569492:0.202844:0.569492:0.202844:0.553086:0.171735:0.553086:0.000000:0.000000:0.000000
[:@0.206728:0.569354:0.222061:0.569354:0.222061:0.555305:0.206728:0.555305:0.000000
+ :@0.233084:0.569492:0.248085:0.569492:0.248085:0.553059:0.233084:0.553059:0.000000:0.000000
a.:@0.103203:0.604859:0.114616:0.604859:0.114616:0.588425:0.103203:0.588425:0.000000:0.000000
x:@0.118559:0.604859:0.126014:0.604859:0.126014:0.588453:0.118559:0.588453:0.000000
m:@0.125947:0.598795:0.134468:0.598795:0.134468:0.589230:0.125947:0.589230:0.000000
       :@0.134429:0.604859:0.193689:0.604859:0.193689:0.588425:0.134429:0.588425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.138387:0.604304:0.153720:0.604304:0.153720:0.590588:0.138387:0.590588:0.000000
x:@0.157585:0.604859:0.165040:0.604859:0.165040:0.588453:0.157585:0.588453:0.000000
n:@0.164960:0.598795:0.170497:0.598795:0.170497:0.589230:0.164960:0.589230:0.000000
5:@0.174416:0.604304:0.189750:0.604304:0.189750:0.590588:0.174416:0.590588:0.000000
x:@0.193615:0.604859:0.201070:0.604859:0.201070:0.588453:0.193615:0.588453:0.000000
m n:@0.200990:0.598795:0.223890:0.598795:0.223890:0.589230:0.200990:0.589230:0.000000:0.000000:0.000000
1:@0.209468:0.598471:0.218407:0.598471:0.218407:0.590475:0.209468:0.590475:0.000000
e.:@0.374307:0.604859:0.386180:0.604859:0.386180:0.588425:0.374307:0.588425:0.000000:0.000000
x:@0.390034:0.604859:0.397489:0.604859:0.397489:0.588453:0.390034:0.588453:0.000000
2:@0.397423:0.598471:0.406363:0.598471:0.406363:0.590475:0.397423:0.590475:0.000000
m:@0.406309:0.598795:0.414830:0.598795:0.414830:0.589230:0.406309:0.589230:0.000000
 :@0.414790:0.604859:0.418821:0.604859:0.418821:0.588425:0.414790:0.588425:0.000000
5 :@0.418747:0.604304:0.438590:0.604304:0.438590:0.590588:0.418747:0.590588:0.000000:0.000000
1:@0.448736:0.598749:0.457719:0.598749:0.457719:0.582315:0.448736:0.582315:0.000000
x:@0.445276:0.612728:0.452731:0.612728:0.452731:0.596322:0.445276:0.596322:0.000000
m:@0.452662:0.606661:0.461183:0.606661:0.461183:0.597096:0.452662:0.597096:0.000000
;:@0.467883:0.604859:0.471086:0.604859:0.471086:0.588425:0.467883:0.588425:0.000000
 :@0.073089:0.640868:0.077120:0.640868:0.077120:0.624434:0.073089:0.624434:0.000000
b. (x :@0.103203:0.640868:0.136697:0.640868:0.136697:0.624434:0.103203:0.624434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 :@0.136596:0.640313:0.156439:0.640313:0.156439:0.626598:0.136596:0.626598:0.000000:0.000000
y)    :@0.156347:0.640868:0.200874:0.640868:0.200874:0.624434:0.156347:0.624434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.169162:0.634804:0.177683:0.634804:0.177683:0.625240:0.169162:0.625240:0.000000
5:@0.181602:0.640313:0.196935:0.640313:0.196935:0.626598:0.181602:0.626598:0.000000
x:@0.200801:0.640868:0.208255:0.640868:0.208255:0.624462:0.200801:0.624462:0.000000
m :@0.208175:0.634804:0.218585:0.634804:0.218585:0.625240:0.208175:0.625240:0.000000:0.000000
3:@0.218550:0.640313:0.233883:0.640313:0.233883:0.626598:0.218550:0.626598:0.000000
  m:@0.233791:0.634804:0.251594:0.634804:0.251594:0.625240:0.233791:0.625240:0.000000:0.000000:0.000000
x:@0.235684:0.640868:0.243139:0.640868:0.243139:0.624462:0.235684:0.624462:0.000000
f.:@0.374307:0.640868:0.381707:0.640868:0.381707:0.624434:0.374307:0.624434:0.000000:0.000000
x:@0.392368:0.634759:0.399823:0.634759:0.399823:0.618353:0.392368:0.618353:0.000000
y:@0.392350:0.648738:0.399823:0.648738:0.399823:0.632332:0.392350:0.632332:0.000000
2:@0.406550:0.626916:0.415489:0.626916:0.415489:0.618920:0.406550:0.618920:0.000000
m:@0.415436:0.627240:0.423957:0.627240:0.423957:0.617675:0.415436:0.617675:0.000000
   :@0.423918:0.640868:0.447148:0.640868:0.447148:0.624434:0.423918:0.624434:0.000000:0.000000:0.000000
5:@0.427876:0.640313:0.443209:0.640313:0.443209:0.626598:0.427876:0.626598:0.000000
y:@0.453858:0.634759:0.461332:0.634759:0.461332:0.618353:0.453858:0.618353:0.000000
x:@0.453877:0.648738:0.461332:0.648738:0.461332:0.632332:0.453877:0.632332:0.000000
m:@0.468049:0.627240:0.476569:0.627240:0.476569:0.617675:0.468049:0.617675:0.000000
 ; con     0 y   :@0.476531:0.640868:0.585907:0.640868:0.585907:0.624434:0.476531:0.624434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.519126:0.640868:0.526599:0.640868:0.526599:0.624462:0.519126:0.624462:0.000000
Þ:@0.530483:0.640313:0.545816:0.640313:0.545816:0.626598:0.530483:0.626598:0.000000
x:@0.574495:0.640868:0.581950:0.640868:0.581950:0.624462:0.574495:0.624462:0.000000
Þ :@0.585833:0.640313:0.605676:0.640313:0.605676:0.626598:0.585833:0.626598:0.000000:0.000000
0:@0.605584:0.640868:0.614567:0.640868:0.614567:0.624434:0.605584:0.624434:0.000000
c.:@0.103203:0.671806:0.114340:0.671806:0.114340:0.655372:0.103203:0.655372:0.000000:0.000000
x:@0.118209:0.671806:0.125664:0.671806:0.125664:0.655400:0.118209:0.655400:0.000000
m n:@0.125598:0.665742:0.148499:0.665742:0.148499:0.656177:0.125598:0.656177:0.000000:0.000000:0.000000
1:@0.134076:0.665418:0.143015:0.665418:0.143015:0.657422:0.134076:0.657422:0.000000
4:@0.148464:0.671251:0.163797:0.671251:0.163797:0.657535:0.148464:0.657535:0.000000
  n:@0.163705:0.665742:0.178525:0.665742:0.178525:0.656177:0.163705:0.656177:0.000000:0.000000:0.000000
x:@0.165599:0.671806:0.173054:0.671806:0.173054:0.655400:0.165599:0.655400:0.000000
 :@0.178486:0.671806:0.182517:0.671806:0.182517:0.655372:0.178486:0.655372:0.000000
5 :@0.182443:0.671251:0.202287:0.671251:0.202287:0.657535:0.182443:0.657535:0.000000:0.000000
x:@0.202194:0.671806:0.209649:0.671806:0.209649:0.655400:0.202194:0.655400:0.000000
m n:@0.209576:0.665742:0.232477:0.665742:0.232477:0.656177:0.209576:0.656177:0.000000:0.000000:0.000000
2:@0.218054:0.665418:0.226993:0.665418:0.226993:0.657422:0.218054:0.657422:0.000000
g.:@0.374307:0.671806:0.387192:0.671806:0.387192:0.655372:0.374307:0.655372:0.000000:0.000000
x:@0.391046:0.671806:0.398501:0.671806:0.398501:0.655400:0.391046:0.655400:0.000000
0 :@0.398436:0.665742:0.405283:0.665742:0.405283:0.656177:0.398436:0.656177:0.000000:0.000000
5:@0.405248:0.671251:0.420581:0.671251:0.420581:0.657535:0.405248:0.657535:0.000000
 :@0.420489:0.665742:0.422421:0.665742:0.422421:0.656177:0.420489:0.656177:0.000000
1;     0 :@0.422382:0.671806:0.481836:0.671806:0.481836:0.655372:0.422382:0.655372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.438360:0.671806:0.445814:0.671806:0.445814:0.655400:0.438360:0.655400:0.000000
Þ:@0.449698:0.671251:0.465032:0.671251:0.465032:0.657535:0.449698:0.657535:0.000000
 :@0.073089:0.702742:0.077120:0.702742:0.077120:0.686308:0.073089:0.686308:0.000000
d. ( )  :@0.103203:0.702742:0.155008:0.702742:0.155008:0.686308:0.103203:0.686308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.124810:0.702742:0.132265:0.702742:0.132265:0.686336:0.124810:0.686336:0.000000
m n:@0.132199:0.696678:0.151016:0.696678:0.151016:0.687113:0.132199:0.687113:0.000000:0.000000:0.000000
5 :@0.154935:0.702187:0.174778:0.702187:0.174778:0.688471:0.154935:0.688471:0.000000:0.000000
x:@0.174686:0.702742:0.182141:0.702742:0.182141:0.686336:0.174686:0.686336:0.000000
m n:@0.182067:0.696678:0.204968:0.696678:0.204968:0.687113:0.182067:0.687113:0.000000:0.000000:0.000000
3:@0.190545:0.696354:0.199484:0.696354:0.199484:0.688358:0.190545:0.688358:0.000000
h.:@0.374309:0.702742:0.387231:0.702742:0.387231:0.686308:0.374309:0.686308:0.000000:0.000000
x:@0.391157:0.702742:0.398612:0.702742:0.398612:0.686336:0.391157:0.686336:0.000000
1 :@0.398546:0.696678:0.405393:0.696678:0.405393:0.687113:0.398546:0.687113:0.000000:0.000000
5 :@0.405359:0.702187:0.425202:0.702187:0.425202:0.688471:0.405359:0.688471:0.000000:0.000000
x:@0.425110:0.702742:0.432565:0.702742:0.432565:0.686336:0.425110:0.686336:0.000000
Ejemplo 9:@0.073089:0.733682:0.148872:0.733682:0.148872:0.717012:0.073089:0.717012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica las propiedades de la potenciación hasta reducir la expresión :@0.073089:0.772859:0.567020:0.772859:0.567020:0.756426:0.073089:0.756426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  2:@0.577262:0.766744:0.595375:0.766744:0.595375:0.750310:0.577262:0.750310:0.000000:0.000000:0.000000
p:@0.580177:0.779471:0.592455:0.779471:0.592455:0.765755:0.580177:0.765755:0.000000
2:@0.603207:0.757964:0.608443:0.757964:0.608443:0.748383:0.603207:0.748383:0.000000
3:@0.611249:0.755443:0.616486:0.755443:0.616486:0.745862:0.611249:0.745862:0.000000
Solución:@0.073089:0.803791:0.139222:0.803791:0.139222:0.787121:0.073089:0.787121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicamos los exponentes: :@0.073089:0.839806:0.297424:0.839806:0.297424:0.823372:0.073089:0.823372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   2:@0.303096:0.833690:0.325148:0.833690:0.325148:0.817257:0.303096:0.817257:0.000000:0.000000:0.000000:0.000000
p:@0.307986:0.846418:0.320264:0.846418:0.320264:0.832702:0.307986:0.832702:0.000000
2:@0.331017:0.824911:0.336254:0.824911:0.336254:0.815330:0.331017:0.815330:0.000000
Distribuimos el exponente: :@0.073089:0.875166:0.272461:0.875166:0.272461:0.858733:0.073089:0.858733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   2:@0.276090:0.869057:0.298141:0.869057:0.298141:0.852623:0.276090:0.852623:0.000000:0.000000:0.000000:0.000000
6:@0.298066:0.862993:0.303303:0.862993:0.303303:0.853412:0.298066:0.853412:0.000000
p:@0.280984:0.882477:0.293262:0.882477:0.293262:0.868762:0.280984:0.868762:0.000000
6:@0.293170:0.876968:0.298407:0.876968:0.298407:0.867387:0.293170:0.867387:0.000000
Simplificamos el índice y el exponente: :@0.073089:0.910533:0.358359:0.910533:0.358359:0.894099:0.073089:0.894099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.363829:0.904423:0.372811:0.904423:0.372811:0.887989:0.363829:0.887989:0.000000
3:@0.372731:0.898359:0.377968:0.898359:0.377968:0.888778:0.372731:0.888778:0.000000
p:@0.362187:0.917843:0.374465:0.917843:0.374465:0.904128:0.362187:0.904128:0.000000
6:@0.374373:0.912334:0.379609:0.912334:0.379609:0.902753:0.374373:0.902753:0.000000
   :@0.383705:0.910533:0.406935:0.910533:0.406935:0.894099:0.383705:0.894099:0.000000:0.000000:0.000000
5:@0.387663:0.909978:0.402996:0.909978:0.402996:0.896262:0.387663:0.896262:0.000000
8:@0.415243:0.904423:0.424226:0.904423:0.424226:0.887989:0.415243:0.887989:0.000000
p:@0.411028:0.917847:0.423306:0.917847:0.423306:0.904132:0.411028:0.904132:0.000000
6:@0.423209:0.912334:0.428446:0.912334:0.428446:0.902753:0.423209:0.902753:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000