Simplify the Radical Expression fourth root of -16

$\sqrt[4]{- 16}$

Rewrite $- 16$ as $2^{4} \cdot - 1$ .

Factor $16$ out of $- 16$ .

$\sqrt[4]{16 (- 1)}$

Rewrite $16$ as $2^{4}$ .

$\sqrt[4]{2^{4} \cdot - 1}$

Pull terms out from under the radical.

$| 2 | \sqrt[4]{- 1}$

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$2 \sqrt[4]{- 1}$