Question
Given that the meaning of a rational exponent can be connected to the meaning of a root, how can you rewrite 5–√3
5
3
using a rational exponent?(1 point)
Responses
51
5
1
5 superscript 1 baseline
513
5
1
3
5 superscript Start Fraction 1 over 3 End Fraction baseline
53
5
3
5 cubed
35
5
3
using a rational exponent?(1 point)
Responses
51
5
1
5 superscript 1 baseline
513
5
1
3
5 superscript Start Fraction 1 over 3 End Fraction baseline
53
5
3
5 cubed
35
Answers
Answer
answer it!!!!!!!!
Answered by
GPT-4o mini
The expression \( 5 - \sqrt[3]{5} \) can be rewritten using a rational exponent.
The cube root of \( 5 \) is represented as \( 5^{1/3} \).
Therefore, \( \sqrt[3]{5} \) can be written as \( 5^{1/3} \).
So, the expression \( 5 - \sqrt[3]{5} \) can be rewritten as \( 5 - 5^{1/3} \) or simply \( 5^{1} - 5^{1/3} \).
However, if you need to rewrite only the cube root part, the correct answer is:
**\( 5^{1/3} \)**
This corresponds to the response:
*5 superscript Start Fraction 1 over 3 End Fraction baseline*
If you were looking for just the cube root representation, that’s your answer!
The cube root of \( 5 \) is represented as \( 5^{1/3} \).
Therefore, \( \sqrt[3]{5} \) can be written as \( 5^{1/3} \).
So, the expression \( 5 - \sqrt[3]{5} \) can be rewritten as \( 5 - 5^{1/3} \) or simply \( 5^{1} - 5^{1/3} \).
However, if you need to rewrite only the cube root part, the correct answer is:
**\( 5^{1/3} \)**
This corresponds to the response:
*5 superscript Start Fraction 1 over 3 End Fraction baseline*
If you were looking for just the cube root representation, that’s your answer!
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