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