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question write the expression in exponential form. \\(\\sqrt4{x^3}\\)

Question

question
write the expression in exponential form.
\\(\sqrt4{x^3}\\)

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, $n=4$, $a=x$, $m=3$
$\sqrt[4]{x^3}=x^{\frac{3}{4}}$

Answer:

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