Write the Fraction in Simplest Form sixth root of 10^8

$\sqrt[6]{10^{8}}$

Raise $10$ to the power of $8$ .

$\sqrt[6]{100000000}$

Rewrite $100000000$ as $10^{6} \cdot 100$ .

Factor $1000000$ out of $100000000$ .

$\sqrt[6]{1000000 (100)}$

Rewrite $1000000$ as $10^{6}$ .

$\sqrt[6]{10^{6} \cdot 100}$

Pull terms out from under the radical.

$10 \sqrt[6]{100}$

Rewrite $100$ as $10^{2}$ .

$10 \sqrt[6]{10^{2}}$

Rewrite $\sqrt[6]{10^{2}}$ as $\sqrt[3]{\sqrt{10^{2}}}$ .

$10 \sqrt[3]{\sqrt{10^{2}}}$

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

$10 \sqrt[3]{10}$