Question
1. According to the exponent rules, what is the rational exponent in the equivalent expression to 5–√3
? Enter your response in fraction form. (Hint: what should go in the yellow box)(1 point)
The rational exponent is
? Enter your response in fraction form. (Hint: what should go in the yellow box)(1 point)
The rational exponent is
Answers
GPT-4o mini
The expression \( 5 - \sqrt{3} \) can be approached by recognizing that the square root can be expressed as a rational exponent. The square root of \( 3 \) is equivalent to \( 3^{1/2} \).
Given that you are looking for the rational exponent that corresponds to \( \sqrt{3} \), it is:
\[
3^{1/2}
\]
Therefore, the rational exponent in the equivalent expression for \( \sqrt{3} \) is:
\[
\frac{1}{2}
\]
So, the answer is:
\[
\frac{1}{2}
\]
Given that you are looking for the rational exponent that corresponds to \( \sqrt{3} \), it is:
\[
3^{1/2}
\]
Therefore, the rational exponent in the equivalent expression for \( \sqrt{3} \) is:
\[
\frac{1}{2}
\]
So, the answer is:
\[
\frac{1}{2}
\]