ostrowskiamy wrote:Hi there! Next question:

2^(4-1)^2 / 2^(3-2).

My answer = 2^5. Correct answer = 2^8. I thought I had to multiply the numerator's exponent of (4-1 = 3) by 2, to get 6, and then subtract 1 (the exponent that is the result of (3-2) in the denominator.

How does one reach 2^8?

I think there may be a problem with your use of brackets when transcribing the question.
If the correct answer is 2^8, then the original expression should look like this:
2^[(4-1)^2] / 2^(3-2)
Simplify 4-1 and 3-2 to get: 2^[3^2] / 2^1
Simplify 3^2 to get: 2^9 / 2^1
Apply quotient law to get: 2^8

Cheers,
Brent

Just to make this easier visually...