Question

What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the power of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3?
A. 3 over 2
B. 3 to the power of 2 over 2 to the power of 2
C. 3 to the power of 2 over 2
D. 2 to the power of 4 over 3

Can somebody explain how to do this?

Answer 1

Ok first look at just the base 2s. 2^3/2^4 is 1/2
Then 3^-4*3^2/3^-3 is 3^-2/3^-3 is 3^3/3^2 is 3
Therefore the answer is 3/2