Write the Fraction in Simplest Form fourth root of 15^7

$\sqrt[4]{15^{7}}$

Raise $15$ to the power of $7$ .

$\sqrt[4]{170859375}$

Rewrite $170859375$ as $15^{4} \cdot 3375$ .

Factor $50625$ out of $170859375$ .

$\sqrt[4]{50625 (3375)}$

Rewrite $50625$ as $15^{4}$ .

$\sqrt[4]{15^{4} \cdot 3375}$

Pull terms out from under the radical.

$15 \sqrt[4]{3375}$