Let me try writing it again...
(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????
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.
Thank you!! It must be a typo in the book. Singapore Math. I appreciate all of your help!!
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
Thank you!! It must be a typo in the book. Singapore Math. I appreciate all of your help!!
To simplify the expression:
Step 1: Start by simplifying each term within the parentheses separately.
The first term is (X/2)^3, which can be written as (X^3/2^3).
The second term is (X/2)^4, which can be written as (X^4/2^4).
Step 2: Multiply the two terms together:
[(X^3/2^3) * (X^4/2^4)]
Step 3: Simplify the expression by multiplying the numerators together and the denominators together:
(X^3 * X^4) / (2^3 * 2^4)
Step 4: Next, simplify the powers of X by adding the exponents:
X^(3+4) / (2^3 * 2^4)
Simplified, this becomes:
X^7 / (2^3 * 2^4)
Step 5: To simplify the denominator, add the exponents of 2:
X^7 / 2^(3+4)
Step 6: Continuing to simplify, add the exponents within the parenthesis:
X^7 / 2^7
So, the final simplified expression is X^7 / 2^7.
The book's answer of X/2^5 is incorrect based on the given expression.