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(MC) Rewrite the rational exponent as a radical. (2 points) 5 to the 3 over 4 power, to the 2 over 3 power Select one: a. The cube root of 5 squared b. The twelfth root of 5 c. The square root of 5 d. The cube root of 5 the fourth power

1 Answer

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Answer:


√(5)

Explanation:

Given the expression;


(5^{(3)/(4) })^{(2)/(3) }

Using the law of indices that states;


(a^m)^n = a^(mn)

The expression becomes;


(5^{(3)/(4) })^{(2)/(3) }\\= (5^{(3)/(4) * (2)/(3) })\\= 5^(6/12)\\= 5^(1/2)\\= √(5)

Hence the correct answer is
= √(5)

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