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

Answer 1

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:

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