Evaluate - fourth root of -81

$- \sqrt[4]{- 81}$

Step 1

Rewrite $- 81$ as $3^{4} \cdot - 1$ .

Factor $81$ out of $- 81$ .

$- \sqrt[4]{81 (- 1)}$

Rewrite $81$ as $3^{4}$ .

$- \sqrt[4]{3^{4} \cdot - 1}$

$- \sqrt[4]{3^{4} \cdot - 1}$

Step 2

Pull terms out from under the radical.

$- (3 \sqrt[4]{- 1})$

Step 3

Multiply $3$ by $- 1$ .

$- 3 \sqrt[4]{- 1}$

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