Question

Simplify and obtain a numerical value ${\left(32\right)}^{-\frac{4}{5}}$.

Answer 1

Given: $E={32}^{-\frac{4}{5}}$

The expression becomes

$E={\left(2^5\right)}^{\frac{-4}{5}}$

$=2^{5\times \frac{-4}{5}}$

$={\left(2\right)}^{-4}$$=\frac{1}{16}$