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To convert the expression \(5 - \sqrt{3}\) into its equivalent with a rational exponent, we need to focus on the square root part, which is \(\sqrt{3}\).
The square root can be expressed using rational exponents as follows:
\[
\sqrt{3} = 3^{\frac{1}{2}}
\]
Thus, the expression \(5 - \sqrt{3}\) can be rewritten as:
\[
5 - 3^{\frac{1}{2}}
\]
If you are specifically looking for the rational exponent that represents \(\sqrt{3}\), it is \(\frac{1}{2}\).
So, the rational exponent in fractional form is:
\[
\frac{1}{2}
\]