Simplify the Radical Expression 20 root of 32m^15n^5

$\sqrt[20]{32 m^{15} n^{5}}$

Step 1

Rewrite $32 m^{15} n^{5}$ as ${(2 m^{3} n)}^{5}$ .

$\sqrt[20]{{(2 m^{3} n)}^{5}}$

Step 2

Rewrite $\sqrt[20]{{(2 m^{3} n)}^{5}}$ as $\sqrt[4]{\sqrt[5]{{(2 m^{3} n)}^{5}}}$ .

$\sqrt[4]{\sqrt[5]{{(2 m^{3} n)}^{5}}}$

Step 3

Pull terms out from under the radical.

$\sqrt[4]{2 m^{3} n}$