# How do you simplify (1/32)^(-2/5)?

I found $4$
We can write this expression into a root form (fractional exponent) and get rid of the $-$ sign inverting the original fraction as:
${\left(\frac{1}{32}\right)}^{- \frac{2}{5}} = {\left(32\right)}^{\frac{2}{5}} = \sqrt[5]{{32}^{2}} = \sqrt[5]{32 \cdot 32} = \sqrt[5]{32} \sqrt[5]{32} = 2 \cdot 2 = 4$