For integers a and b, 16a = 32^b. Which of the following correctly expresses a in terms of b?	Choose the correct choice from the following options
A) a = 2^b
B) a = 4^b
C) a = 2^(5b − 4)
D) a = 4^(5b − 4)
E) a = 2^(5b)
I tried this one with an example, although I am not quite sure if this is correct. I would appreciate if there would be a common rule for this.   I tried it out with b = 2 and only c correctly expresses the following:   16a = 32^b b = 2   16a = 1024   a = 64   choice c --&gt; a = 2^6 = 64   However, this is a quite time consuming process. Is there something faster?   Answer a = 2^(5b − 4)
<result>C</result>
For integers a and b, 16a = 32^b. Which of the following correctly expresses a in terms of b?