Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question write the expression in exponential form. \\(\\sqrt7{x^3}\\) a…

Question

question
write the expression in exponential form.
\\(\sqrt7{x^3}\\)
answer attempt 1 out of 2

Explanation:

Step1: Recall the radical to exponential rule

The formula for converting a radical to exponential form is $\sqrt[n]{a^m}=a^{\frac{m}{n}}$. Here, $n = 7$, $a=x$ and $m = 3$.

Step2: Apply the rule to the given expression

Substitute the values of $n$, $a$ and $m$ into the formula. So, $\sqrt[7]{x^3}=x^{\frac{3}{7}}$.

Answer:

$x^{\frac{3}{7}}$