Question

Calcule
a-
$\sqrt[6]{9 {}^{6} }$
b-
$\sqrt[5]{( \frac{1}{2} } ) {}^{5}$
c-
$\sqrt[3]{( - 5) {}^{3} }$

Answer 1

$a)~~ \sqrt[6]{9^6} =9^{ \frac{6}{6} }=9^1=9 \\ \\ b)~~ \sqrt[5]{( \frac{1}{5})^5 } =( \frac{1}{5} )^{ \frac{5}{5} }=( \frac{1}{5} )^1= \frac{1}{5} \\ \\ c)~~ \sqrt[3]{(-5)^3} =(-5)^{ \frac{3}{3} }=(-5)^1=(-5)$