Find the Exact Value fifth root of 89x^15

$\sqrt[5]{89 x^{15}}$

Rewrite $89 x^{15}$ as ${(x^{3})}^{5} \cdot 89$ .

Rewrite $x^{15}$ as ${(x^{3})}^{5}$ .

$\sqrt[5]{89 {(x^{3})}^{5}}$

Reorder $89$ and ${(x^{3})}^{5}$ .

$\sqrt[5]{{(x^{3})}^{5} \cdot 89}$

Pull terms out from under the radical.

$x^{3} \sqrt[5]{89}$