Question

aplique as propriedades da potênciação

a)9elevado a 6 x 9 elevado a dois

b)(20elevado ao cubo)elevado a 2

c)10elevado a 7 - 10elevado a 5

d)(8elevado a 10)elevado 3

e)(0,7)elevado a 6-(0,7)

f)[(2,5)elevado a 4)elevado a 6

g)(1,9)elevado a 12-(1,9)elevado a 10

h)(1/2)•(1/2)elevado a 4•(1/2)

i)(2/5)elevado a 14-(2/5)elevado a 9

Answer 1

Resposta:

ver abaixo

Explicação passo-a-passo:

$a)9^6.9^2=9^8\\\\b)(20^2)^2=20^4\\\\c)10^7-10^5=10^2.10^5-10^5.1=10^5(10^2-1)=99.10^5\\\\d)(8^{10})^3=8^30=(2^3)^{30}=2^{90}\\\\e)(0,7)^6-(0,7)=(0,7).(0,7)^5-(0,7).1=(0,7).((0,7)^5-1)=0,16807-1=-0,83193\\\\f)(2,5^4)^6=2,5^{24}\\\\g)(1,9)^{12}-(1,9)^{10}=(1,9)^{10}.(1,9)^2-(1,9)^{10}.1=(1,9)^{10}.((1,9)^2-1)=2,61.(1,9)^{10}\\\\h)(\frac{1}{2}).(\frac{1}{2})^4.(\frac{1}{2})=(\frac{1}{2})^6\\\\i)((\frac{2}{5})^{14}-(\frac{2}{5})^9$