Question 41 Answer and Explanation _ACT January 2001 Form 56B Math Section

Question 41 Answer and Explanation _ACT January 2001 Form 56B Math Section

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41. For positive real numbers x, y, and z, which of the following expressions is equivalent to ${x}^{\frac{1}{2}}{y}^{\frac{2}{3}}{z}^{\frac{5}{6}}$ ?

A. $\sqrt[{3}]{{xy}^{2}{z}^{3}}$

B. $\sqrt[{6}]{{xy}^{2}{z}^{5}}$

C. $\sqrt[{6}]{{x}^{3}{y}^{2}{z}^{5}}$

D. $\sqrt[{6}]{{x}^{3}{y}^{4}{z}^{5}}$

E. $\sqrt[{11}]{{xy}^{2}{z}^{5}}$

Answer and Explanation

Your Answer is

Correct Answer is D

Explanation

Examine your understanding of indices.