Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question write the expression in exponential form. \\sqrt3{x}

Question

question
write the expression in exponential form.
\sqrt3{x}

Explanation:

Step1: Recall root-to-exponent rule

The nth root of a number \(x\) is equivalent to \(x\) raised to the power of \(\frac{1}{n}\), i.e., \(\sqrt[n]{x} = x^{\frac{1}{n}}\)

Step2: Apply rule to given expression

Here, \(n=3\) and the base is \(x\). Substitute into the rule:
$\sqrt[3]{x} = x^{\frac{1}{3}}$

Answer:

$x^{\frac{1}{3}}$