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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

The expression \( 5\sqrt{3} \) can be rewritten using rational exponents.

The nth root of a number can be expressed as that number raised to the power of \( \frac{1}{n} \). In this case, the fifth root is denoted as \( \frac{1}{5} \).

Therefore, \( 5\sqrt{3} \) can be expressed as:

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

So the rational exponent in the equivalent expression is:

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