Evaluate ( cube root of -8)^3

${(\sqrt[3]{- 8})}^{3}$

Step 1

Rewrite $- 8$ as ${(- 2)}^{3}$ .

${\sqrt[3]{{(- 2)}^{3}}}^{3}$

Step 2

Pull terms out from under the radical, assuming real numbers.

${(- 2)}^{3}$

Step 3

Raise $- 2$ to the power of $3$ .

$- 8$

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