Question

write the following as an exponential expression.
\sqrt8{15}

Explanation:

Step1: Recall the radical to exponent rule

The nth root of a number \( a \), denoted as \( \sqrt[n]{a} \), can be written as an exponential expression \( a^{\frac{1}{n}} \).

Step2: Apply the rule to the given problem

Here, we have the 8th root of 15, which is \( \sqrt[8]{15} \). Using the rule from Step 1, where \( a = 15 \) and \( n = 8 \), we can rewrite this as \( 15^{\frac{1}{8}} \).

Answer:

\( 15^{\frac{1}{8}} \)