The expression \( 5 - \sqrt{3} \) can be approached by recognizing that the square root can be expressed as a rational exponent. The square root of \( 3 \) is equivalent to \( 3^{1/2} \).
Given that you are looking for the rational exponent that corresponds to \( \sqrt{3} \), it is:
\[ 3^{1/2} \]
Therefore, the rational exponent in the equivalent expression for \( \sqrt{3} \) is:
\[ \frac{1}{2} \]
So, the answer is:
\[ \frac{1}{2} \]