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write the expression in exponential form. \\(\\sqrt7{x^4}\\)

Question

write the expression in exponential form.
\\(\sqrt7{x^4}\\)

Explanation:

Step1: Recall root-to-exponent rule

For $\sqrt[n]{a^m}$, it equals $a^{\frac{m}{n}}$.

Step2: Apply rule to given expression

Here, $n=7$, $a=x$, $m=4$.
$\sqrt[7]{x^4} = x^{\frac{4}{7}}$

Answer:

$x^{\frac{4}{7}}$