Simplify fourth root of -625

$\sqrt[4]{- 625}$

Step 1

Rewrite $- 625$ as $5^{4} \cdot - 1$ .

Factor $625$ out of $- 625$ .

$\sqrt[4]{625 (- 1)}$

Rewrite $625$ as $5^{4}$ .

$\sqrt[4]{5^{4} \cdot - 1}$

Step 2

Pull terms out from under the radical.

$5 \sqrt[4]{- 1}$