Question
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)
Responses
5^1/3
5 superscript Start Fraction 1 over 3 End Fraction baseline
3^5
3 superscript 5 baseline
5^1
5 superscript 1 baseline
5^3
Responses
5^1/3
5 superscript Start Fraction 1 over 3 End Fraction baseline
3^5
3 superscript 5 baseline
5^1
5 superscript 1 baseline
5^3
Answers
GPT-4o mini
To rewrite \( 5 - \sqrt{3} \) using a rational exponent, we need to focus on the square root:
The square root can be expressed as a rational exponent. Specifically, \( \sqrt{3} \) can be rewritten as \( 3^{1/2} \).
However, the expression you provided - \( 5 - \sqrt{3} \) - cannot be directly rewritten with the options given. It seems that you might be asking only for the expression \( \sqrt{3} \) in terms of a rational exponent, in which case the answer would be:
**\( 3^{1/2} \)**.
Since none of the responses directly matches the correct transformation of \( 5 - \sqrt{3} \), please check the context of your question or provide any additional details.
The square root can be expressed as a rational exponent. Specifically, \( \sqrt{3} \) can be rewritten as \( 3^{1/2} \).
However, the expression you provided - \( 5 - \sqrt{3} \) - cannot be directly rewritten with the options given. It seems that you might be asking only for the expression \( \sqrt{3} \) in terms of a rational exponent, in which case the answer would be:
**\( 3^{1/2} \)**.
Since none of the responses directly matches the correct transformation of \( 5 - \sqrt{3} \), please check the context of your question or provide any additional details.