Question

According to exponent rules, what is the rational exponent in the equivalent expression to 5–√3
? Enter your response in fraction form

Answer 1

The expression \( 5 - \sqrt{3} \) represents a number not typically associated with a rational exponent directly. However, if you are referring to \( \sqrt{3} \) itself, we can express it in terms of an exponent:

The square root of a number can be expressed as that number raised to the power of \( \frac{1}{2} \). Therefore, the square root of \( 3 \) can be written as:

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

If you are looking for the base of \( 3 \) in the exponent format, it's simply \( \frac{1}{2} \).

However, if I misunderstood your original question and you meant \( \sqrt[3]{5} \) or something similar, please clarify so I can provide the correct rational exponent for that expression instead.