Evaluate fourth root of -256

$\sqrt[4]{- 256}$

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

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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.

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

Evaluate fourth root of -256

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