Simplify the Radical Expression fourth root of -256

$\sqrt[4]{- 256}$

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

Factor $256$ out of $- 256$ .

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

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

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

Pull terms out from under the radical.

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

The absolute value is the distance between a number and zero. The distance between $0$ and $4$ is $4$ .

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