Evaluate (- cube root of -18)^2

${(- \sqrt[3]{- 18})}^{2}$

Rewrite $- 18$ as ${(- 1)}^{3} \cdot 18$ .

Rewrite $- 18$ as $- 1 (18)$ .

${(- \sqrt[3]{- 1 (18)})}^{2}$

Rewrite $- 1$ as ${(- 1)}^{3}$ .

${(- \sqrt[3]{{(- 1)}^{3} \cdot 18})}^{2}$

${(- \sqrt[3]{{(- 1)}^{3} \cdot 18})}^{2}$

Pull terms out from under the radical.

${(- (- 1 \sqrt[3]{18}))}^{2}$

Rewrite $- 1 \sqrt[3]{18}$ as $- \sqrt[3]{18}$ .

${(- - \sqrt[3]{18})}^{2}$

Multiply $- - \sqrt[3]{18}$ .

Multiply $- 1$ by $- 1$ .

${(1 \sqrt[3]{18})}^{2}$

Multiply $\sqrt[3]{18}$ by $1$ .

${\sqrt[3]{18}}^{2}$

${\sqrt[3]{18}}^{2}$

Rewrite ${\sqrt[3]{18}}^{2}$ as ${(18^{2})}^{\frac{1}{3}}$ .

$\sqrt[3]{18^{2}}$

Raise $18$ to the power of $2$ .

$\sqrt[3]{324}$

Rewrite $324$ as $3^{3} \cdot 12$ .

Factor $27$ out of $324$ .

$\sqrt[3]{27 (12)}$

Rewrite $27$ as $3^{3}$ .

$\sqrt[3]{3^{3} \cdot 12}$

$\sqrt[3]{3^{3} \cdot 12}$

Pull terms out from under the radical.

$3 \sqrt[3]{12}$

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[3]{12}$

Decimal Form:

$6.86828545 \dots$

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