Algebra Examples

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

Step 1

Rewrite ${\sqrt[3]{x^{2}}}^{2}$ as $\sqrt[3]{{(x^{2})}^{2}}$ .

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

Step 2

Multiply the exponents in ${(x^{2})}^{2}$ .

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Step 2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\sqrt[3]{x^{2 \cdot 2}}$

Step 2.2

Multiply $2$ by $2$ .

$\sqrt[3]{x^{4}}$

Step 3

Factor out $x^{3}$ .

$\sqrt[3]{x^{3} x}$

Step 4

Pull terms out from under the radical.

$x \sqrt[3]{x}$