Write the Fraction in Simplest Form sixth root of 5^10

$\sqrt[6]{5^{10}}$

Raise $5$ to the power of $10$ .

$\sqrt[6]{9765625}$

Rewrite $9765625$ as $5^{6} \cdot 625$ .

Factor $15625$ out of $9765625$ .

$\sqrt[6]{15625 (625)}$

Rewrite $15625$ as $5^{6}$ .

$\sqrt[6]{5^{6} \cdot 625}$

Pull terms out from under the radical.

$5 \sqrt[6]{625}$

Rewrite $625$ as $25^{2}$ .

$5 \sqrt[6]{25^{2}}$

Rewrite $\sqrt[6]{25^{2}}$ as $\sqrt[3]{\sqrt{25^{2}}}$ .

$5 \sqrt[3]{\sqrt{25^{2}}}$

Pull terms out from under the radical, assuming positive real numbers.

$5 \sqrt[3]{25}$