The expression \(5 - \sqrt{3}\) can be rewritten using a rational exponent by expressing the square root in terms of an exponent. The square root of a number can be expressed as a rational exponent of \( \frac{1}{2} \).
The square root of 3 is expressed as \(3^{\frac{1}{2}}\).
If we assume you meant to express the square root itself using a rational exponent rather than a negative sign preceding it, the equivalent rational exponent form for the square root of 3 is:
\[
5^{-\sqrt{3}} = 5^{-3^{\frac{1}{2}}}
\]
This was not explicitly among your options, but if you were looking for just the square root of 3 as a rational exponent, it would be:
\(3^{\frac{1}{2}}\)
However, based on your choices, the most closely related option is:
\(5^{\frac{1}{3}}\)
If you meant to represent a different format or specific ways to combine these elements, please clarify!