Simplify cube root of n^6m^5

$\sqrt[3]{n^{6} m^{5}}$

Step 1

Rewrite $n^{6} m^{5}$ as ${(n^{2} m)}^{3} m^{2}$ .

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

$\sqrt[3]{{(n^{2})}^{3} m^{5}}$

Factor out $m^{3}$ .

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

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

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

Step 2

Pull terms out from under the radical.

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