Simplify ( cube root of m)^7

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

Step 1

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

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

Step 2

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

Factor out $m^{6}$ .

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

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

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

Step 3

Pull terms out from under the radical.

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