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QuizMultiple Choice

Rational Exponents — Quiz

Question 2 • Mathematics III

Which of the following is equivalent to 5th root of 13 cubed ?

Answer
A
13 raised to the 3 fifths power
B
13 raised to the 5 thirds power
C
13 squared
D
13 to the 15th power

Explanation

The fifth root means raising a quantity to the power of 1/5. So the fifth root of 13 cubed is (13³)^(1/5) = 13^(3/5), using the rule that powers multiply when a power is raised to another power. This matches 13 raised to the 3/5 power.

AI-written and checked against the verified answer.

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