Evaluate ( cube root of -27)^2

${(\sqrt[3]{- 27})}^{2}$

Step 1

Rewrite $- 27$ as ${(- 3)}^{3}$ .

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

Step 2

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

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

Step 3

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

$9$

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