Simplify fifth root of -64

$\sqrt[5]{- 64}$

Step 1

Rewrite $- 64$ as ${(- 2)}^{5} \cdot 2$ .

Factor $- 32$ out of $- 64$ .

$\sqrt[5]{- 32 (2)}$

Rewrite $- 32$ as ${(- 2)}^{5}$ .

$\sqrt[5]{{(- 2)}^{5} \cdot 2}$

$\sqrt[5]{{(- 2)}^{5} \cdot 2}$

Step 2

Pull terms out from under the radical.

$- 2 \sqrt[5]{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 2 \sqrt[5]{2}$

Decimal Form:

$- 2.29739670 \dots$

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