Question

According to exponent rules, what is the rational exponent in the equivalent expression to 3√5
? Enter your response in fraction form.

Answer 1

The expression \( 3\sqrt{5} \) can be expressed using rational exponents. The cube root can be represented as an exponent of \( \frac{1}{3} \). Therefore, \( 3\sqrt{5} \) can be rewritten as:

\[
5^{\frac{1}{3}}
\]

Here, the rational exponent for the expression equivalent to \( 3\sqrt{5} \) is \( \frac{1}{3} \).