Write in Exponential Form sixth root of x^3

$\sqrt[6]{x^{3}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[6]{x^{3}}$ as $x^{\frac{3}{6}}$ .

$x^{\frac{3}{6}}$

Step 2

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3$ .

$x^{\frac{3 (1)}{6}}$

Cancel the common factors.

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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