Question

According to exponent rules, what is the rational exponent in the equivalent expression to 5–√3
? Enter your response in fraction form.(1 point)
__^5
Remaining Attempts : 1

Answer 1

To rewrite \( 5 - \sqrt{3} \) in terms of rational exponents, we need to express the square root as a fractional exponent. Recall that:

\[
\sqrt{a} = a^{1/2}
\]

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

The expression \( 5 - \sqrt{3} \) can be expressed as \( 5 - 3^{1/2} \). However, if you're asking for only the rational exponent related to \( \sqrt{3} \), we focus on that part:

The rational exponent in the equivalent expression to \( \sqrt{3} \) is:

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

If you are specifically referring to the exponent of \( \sqrt{3} \) alone as a rational exponent, it is \( \frac{1}{2} \). If you want the full expression as a rational exponent, you could consider \( 5 - 3^{1/2} \) as \( 5 - 3^{\frac{1}{2}} \).