Question
according to exponet rules, whay is the rational exponent in the equivalent expression to 3√5? Enter your response in fraction form.
Answers
GPT-4o mini
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:
\[
\frac{1}{3}
\]
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:
\[
\frac{1}{3}
\]