Simplify ( fifth root of m)^11

${(\sqrt[5]{m})}^{11}$

Step 1

Rewrite ${\sqrt[5]{m}}^{11}$ as $\sqrt[5]{m^{11}}$ .

$\sqrt[5]{m^{11}}$

Step 2

Rewrite $m^{11}$ as ${(m^{2})}^{5} m$ .

Factor out $m^{10}$ .

$\sqrt[5]{m^{10} m}$

Rewrite $m^{10}$ as ${(m^{2})}^{5}$ .

$\sqrt[5]{{(m^{2})}^{5} m}$

Step 3

Pull terms out from under the radical.

$m^{2} \sqrt[5]{m}$