# Rewrite the expression using rational exponents: \sqrt[4]{x^{3}}

Rewrite the expression using rational exponents.
$\sqrt[4]{{x}^{3}}$

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Laith Petty

Step 1
Given radical expression: $\sqrt[4]{{x}^{3}}$
Step 2
$\sqrt[n]{{x}^{m}}={\sqrt[n]{x}}^{m}={x}^{\frac{m}{n}}$
Therefore,
$\sqrt[4]{{x}^{3}}={x}^{\frac{3}{4}}$
Hence, the radical expression $\sqrt[4]{{x}^{3}}$ is written in rational exponents as ${x}^{\frac{3}{4}}$