Question

rewrite the expression $sqrt7{x^{2}}$ using a fractional exponent.
$sqrt7{x^{2}} = x^{square}$
(simplify your answer.)

Explanation:

Step1: Recall root-to-exponent rule

For $\sqrt[n]{x^m} = x^{\frac{m}{n}}$

Step2: Apply rule to given expression

Here $n=7$, $m=2$, so $\sqrt[7]{x^2} = x^{\frac{2}{7}}$

Answer:

$\boldsymbol{x^{\frac{2}{7}}}$