Simplify fifth root of 32/(x^5)

$\sqrt[5]{\frac{32}{x^{5}}}$

Rewrite $32$ as $2^{5}$ .

$\sqrt[5]{\frac{2^{5}}{x^{5}}}$

Rewrite $\frac{2^{5}}{x^{5}}$ as ${(\frac{2}{x})}^{5}$ .

$\sqrt[5]{{(\frac{2}{x})}^{5}}$

Pull terms out from under the radical, assuming real numbers.

$\frac{2}{x}$