(a^1/2 * a^1/3)^6 при a=(1/3)^2/5

Question

(a^1/2 * a^1/3)^6 при a=(1/3)^2/5

Answer 1

Готовыедомашниезадание

Answer 2

A^(1\2) * a^(1\3) = a ^(1\2 + 1\3) = a^(5\6)
[a^(5\6)]^6 = a^(5\6 * 6) = a^5
a = (1\3)^(2\5) =>
a^5 = [(1\3)^(2\5)]^5 =
= [1^(2\5)]^5 \ [3^(2\5)]^5 =
= 1 \ 3^(2\5 * 5) = 1\3^2 = 1\9