Algebra Examples

${(\sqrt[3]{m})}^{7}$

Step 1

Rewrite ${\sqrt[3]{m}}^{7}$ as $\sqrt[3]{m^{7}}$ .

$\sqrt[3]{m^{7}}$

Step 2

Rewrite $m^{7}$ as ${(m^{2})}^{3} m$ .

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Step 2.1

Factor out $m^{6}$ .

$\sqrt[3]{m^{6} m}$

Step 2.2

Rewrite $m^{6}$ as ${(m^{2})}^{3}$ .

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

Step 3

Pull terms out from under the radical.

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