Question 60 Answer and Explanation _ACT June 2013 Form 71C Math Section

Question 60 Answer and Explanation _ACT June 2013 Form 71C Math Section

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60. Let $m$ and $n$ be nonzero real numbers such that ${2}^{n+1}=2m$ . Which of the following is an expression for ${2}^{n+3}$ in terms of ?

F. $\frac{1}{6{m}^{3}}$

G. $\frac{1}{4m}$

H. ${m}^{3}$

J. $4{m}^{2}$

K. $8m$

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

2ⁿ⁺³=2ⁿ⁺¹×2²=2m×4=8m