Evaluate - fifth root of 32^4

$- \sqrt[5]{32^{4}}$

Raise $32$ to the power of $4$ .

$- \sqrt[5]{1048576}$

Rewrite $1048576$ as $16^{5}$ .

$- \sqrt[5]{16^{5}}$

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

$- 1 \cdot 16$

Multiply $- 1$ by $16$ .

$- 16$