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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

Respuesta :

abidemiokin

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Given the expression;

[tex](5^{\frac{3}{4} })^{\frac{2}{3} }[/tex]

Using the law of indices that states;

[tex](a^m)^n = a^{mn}[/tex]

The expression becomes;

[tex](5^{\frac{3}{4} })^{\frac{2}{3} }\\= (5^{\frac{3}{4} \times \frac{2}{3} })\\= 5^{6/12}\\= 5^{1/2}\\= \sqrt{5}[/tex]

Hence the correct answer is [tex]= \sqrt{5}[/tex]

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