Question 41 Answer and Explanation _ACT December 2017 Form A10 Math Section

Question 41 Answer and Explanation _ACT December 2017 Form A10 Math Section

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41. If a and b are positive real numbers, which of the following is equivalent to $\frac{{({2a}^{-1}\sqrt{b})}^{4}}{{ab}^{-3}}?$

A. ${8a}^{2}{b}^{4}$

B. $\frac{{8b}^{6}}{{a}^{4}}$

C. $\frac{{16b}^{5}}{{a}^{5}}$

D. $\frac{{16b}^{4}}{{a}^{5}}$

E. $\frac{16b}{{a}^{3}}$

Answer and Explanation

Your Answer is

Correct Answer is C

Explanation