Question

question
write the expression in exponential form.
\sqrt6{x^5}

Explanation:

Step 1: Recall the radical to exponential rule

The \(n\)-th root of a number \(a\) can be written as \(a^{\frac{1}{n}}\), and \(\sqrt[n]{a^m}=a^{\frac{m}{n}}\).

Step 2: Apply the rule to the given expression

For the expression \(\sqrt[6]{x^5}\), here \(n = 6\) and \(m = 5\). Using the rule \(\sqrt[n]{a^m}=a^{\frac{m}{n}}\), we substitute \(a = x\), \(m = 5\) and \(n = 6\). So we get \(x^{\frac{5}{6}}\).

Answer:

\(x^{\frac{5}{6}}\)