Write in Exponential Form fourth root of 3^2

$\sqrt[4]{3^{2}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{3^{2}}$ as $3^{\frac{2}{4}}$ .

$3^{\frac{2}{4}}$

Step 2

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$3^{\frac{2 (1)}{4}}$

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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