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:
\[ \frac{1}{2} \]