Question

rewrite the expression with rational exponents.
\\(\sqrt3{x^5}\\)
\\(\sqrt3{x^5} = \square\\)

Explanation:

Step1: Recall root-to-exponent rule

The $n$-th root of $a^m$ is $a^{\frac{m}{n}}$, i.e., $\sqrt[n]{a^m}=a^{\frac{m}{n}}$.

Step2: Apply rule to given expression

Here, $n=3$, $a=x$, $m=5$. Substitute into the rule:
$\sqrt[3]{x^5}=x^{\frac{5}{3}}$

Answer:

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