Evaluate - fourth root of -16

$- \sqrt[4]{- 16}$

Step 1

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

Factor $16$ out of $- 16$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

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

Step 3

Multiply $2$ by $- 1$ .

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

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