Question #205a2

1 Answer
Nov 26, 2017

[(2x^2)^3]^5=32768x^30

Explanation:

(x^a)^b=(x^a) * (x^a) * ... * (x^a) , for b times = x^(a*b)

=>
[(2x^2)^3]^5=
= [(2x^2) * (2x^2) * (2x^2)]^5 =
= [(2^1 * 2^1 *2^1) * (x^2 * x^2 * x^2)]^5 =
= [(2^3) * (x^(2*3))]^5 =
= [(8) * (x^6)]^5 =
= [8x^6]^5

in the same way of thinking:
= [8x^6]^5=...=8^5*x^(6*5)=32768x^30