The exponential form of ⁵√13³ is [tex]13^{3/5}[/tex].
Hence, option D) is the correct answer.
This question is incomplete, the complete question is:
Which of the following is equivalent to 5 sqrt 13³ ?.
A) 13^2.
B)13^15.
C)13^(5/3).
D)13^(3/5)
What is equivalent to 5 sqrt 13³ ?
Given the expression; 5 sqrt 13³
This can be represented as; ⁵√13³
To convert from radical form to exponential form, we use apply the radical rule;
[tex]\sqrt[n]{a^m} = a^{m/n}[/tex]
Hence,
[tex]\sqrt[5]{13^3} = 13^{3/5}[/tex]
The exponential form of ⁵√13³ is [tex]13^{3/5}[/tex].
Hence, option D) is the correct answer.
Learn more about exponents here: https://brainly.com/question/15993626?
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