Question

rewrite the expression with rational exponents.
$sqrt4{7}$
$sqrt4{7} = \square$
help me solve this view an example

Explanation:

Step1: Recall root-exponent conversion rule

The nth root of a number $a$ is $a^{\frac{1}{n}}$, i.e., $\sqrt[n]{a}=a^{\frac{1}{n}}$

Step2: Apply rule to the given expression

For $\sqrt[4]{17}$, $a=17$ and $n=4$, so $\sqrt[4]{17}=17^{\frac{1}{4}}$

Answer:

$\frac{1}{4}$