Evaluate ( fourth root of -52)^5

${(\sqrt[4]{- 52})}^{5}$

Rewrite ${\sqrt[4]{- 52}}^{5}$ as ${({(- 52)}^{5})}^{\frac{1}{4}}$ .

$\sqrt[4]{{(- 52)}^{5}}$

Raise $- 52$ to the power of $5$ .

$\sqrt[4]{- 380204032}$

Rewrite $- 380204032$ as $52^{4} \cdot - 52$ .

Factor $7311616$ out of $- 380204032$ .

$\sqrt[4]{7311616 (- 52)}$

Rewrite $7311616$ as $52^{4}$ .

$\sqrt[4]{52^{4} \cdot - 52}$

Pull terms out from under the radical.

$52 \sqrt[4]{- 52}$