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

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!

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