Question

rewrite the expression with rational exponents.
\sqrt3{x^{5}}

\sqrt3{x^{5}} = \square

Explanation:

Step1: Apply root-to-exponent rule

Recall that $\sqrt[n]{a^m} = a^{\frac{m}{n}}$. For $\sqrt[3]{x^5}$, $n=3$, $m=5$.

Step2: Substitute values into the rule

$\sqrt[3]{x^5} = x^{\frac{5}{3}}$

Answer:

$x^{\frac{5}{3}}$