Given that the meaning of a rational exponent can be connected to the meaning of a root, how can you rewrite 5–√3 using a rational exponent?(1 point)

To rewrite \(5-\sqrt{3}\) using a rational exponent, we focus on the term \(\sqrt{3}\), which can be expressed with a rational exponent. The square root of a number can be written as that number raised to the power of \(\frac{1}{2}\).

Thus, \(\sqrt{3}\) can be rewritten as \(3^{\frac{1}{2}}\).

For the complete expression \(5-\sqrt{3}\), we focus on rewriting just \(\sqrt{3}\). Therefore, you can express \(\sqrt{3}\) using a rational exponent as:

\[
-\sqrt{3} = -3^{\frac{1}{2}}
\]

However, if we strictly adhere to your request as if you were asking to only convert \(\sqrt{3}\) into a rational exponent context, the correct choice from your options that expresses that conversion would be:

**None of the listed options appropriately represent this conversion precisely.**

But regarding the idea of rational exponents, if in fact you wanted to relate to the exponent of \(3\), the expression could be strictly highlighted as:

**\(3^{\frac{1}{2}}\)** which represents \(\sqrt{3}\).

If you meant to find a connection to the expression \(5^{-\sqrt{3}}\), that should stay as is unless expressed in terms of decimal or numeric approximation methods.

Since that might not be what you're looking for exactly, could you clarify if you're referring to \(5\) raised to the power of \(-\sqrt{3}\) or specifically rewriting \(\sqrt{3}\) itself in its rational exponent form? That would help clarify how to proceed with your request.