Write with Rational (Fractional) Exponents 12 root of x^4

$\sqrt[12]{x^{4}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[12]{x^{4}}$ as $x^{\frac{4}{12}}$ .

$x^{\frac{4}{12}}$

Step 2

Cancel the common factor of $4$ and $12$ .

Factor $4$ out of $4$ .

$x^{\frac{4 (1)}{12}}$

Cancel the common factors.

Factor $4$ out of $12$ .

$x^{\frac{4 \cdot 1}{4 \cdot 3}}$

Cancel the common factor.

$x^{\frac{4 \cdot 1}{4 \cdot 3}}$

Rewrite the expression.

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