MCQ - 74-1452

Correct Answer: B

Explanation:

This question is asking you for the ratio of m to n. To figure it out, the easiest way is to figure out when 4 to an exponent equals 8 to an exponent. The easiest way to do that is to list the first few results of 4 to an exponent and 8 to an exponent and check to see if any match up, before resorting to more drastic means of finding a formula.

${\displaystyle 4^1=4,4^2=16,4^3=64,4^4=256,4^5=1024}$

${\displaystyle 8^1=8,8^2=64,8^3=512,8^4=4096,8^5=32768}$

And, would you look at that ${\displaystyle 4^3=8^2}$. Therefore, ${\displaystyle \frac{m}{n}=\frac{3}{2}}$