Write in Exponential Form sixth root of 27^2

$\sqrt[6]{27^{2}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[6]{27^{2}}$ as $27^{\frac{2}{6}}$ .

$27^{\frac{2}{6}}$

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of $2$ .

$27^{\frac{2 (1)}{6}}$

Cancel the common factors.

Factor $2$ out of $6$ .

$27^{\frac{2 \cdot 1}{2 \cdot 3}}$

Cancel the common factor.

$27^{\frac{2 \cdot 1}{2 \cdot 3}}$

Rewrite the expression.

$27^{\frac{1}{3}}$