Let me try writing it again...

Question

(X/2)^3*(X/2)^4
---------------------
(X/2^3)^2

I keep getting X/2^6, but the book says X/2^5. How do you get X/2^5????

Answer 1

You keep the base and add the exponents

in the numerator

(x/2)^7

in the denominator it looks like you are raising a power to a power..

so you keep the base and multiply the two powers

denominator should be (x/2)^6

I don't know where the 5 is coming from in your answer... unless I am not understanding what the problem actually said or maybe you have a typo.

My answer would be x/2 because 7 -6 = power of 1.

Answer 2

Thank you!! It must be a typo in the book. Singapore Math. I appreciate all of your help!!

Answer 3

books have been know to be wrong, as do most teachers and students.

from the way you typed it, the simplified answer is

(x/2)^7 / (x/2)^6
= x/2

John1's explanation is correct

Answer 4

Thank you!! It must be a typo in the book. Singapore Math. I appreciate all of your help!!