Simplify fourth root of -256

$\sqrt[4]{- 256}$

Step 1

Rewrite $- 256$ as $4^{4} \cdot - 1$ .

Factor $256$ out of $- 256$ .

$\sqrt[4]{256 (- 1)}$

Rewrite $256$ as $4^{4}$ .

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

Step 2

Pull terms out from under the radical.

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