Question

question
write the expression in exponential form.
\sqrt3{x}
answer attempt 1 out of 5

Explanation:

Step1: Recall the radical - exponent rule

The rule for converting a radical to exponential form is that the \(n\) - th root of a number \(a\), \(\sqrt[n]{a}\), can be written as \(a^{\frac{1}{n}}\).

Step2: Apply the rule to \(\sqrt[3]{x}\)

In the expression \(\sqrt[3]{x}\), we have \(n = 3\) and \(a=x\). Using the rule \(\sqrt[n]{a}=a^{\frac{1}{n}}\), we substitute \(n = 3\) and \(a = x\) into the formula. So \(\sqrt[3]{x}=x^{\frac{1}{3}}\).

Answer:

\(x^{\frac{1}{3}}\)