according to exponet rules, whay 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 rewritten using rational exponents. The cube root of a number can be expressed as that number raised to the power of \( \frac{1}{3} \).

Thus, \( 3\sqrt{5} \) can be written as:

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

So, the rational exponent in the equivalent expression to \( 3\sqrt{5} \) is:

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