chatherine simplifies (6^(a)*6^(3))/(6^(b)) to 6(a-3+b)
justin simplifies the same expression but gets a different answer,6^((a+3)-b)
To check the simplification, let's start with the given expression:
(6^a * 6^3) / 6^b
Now, let's simplify it using the rules of exponents:
6^(a+3) / 6^b
To divide exponents with the same base, we subtract them:
6^(a+3-b)
So, Justin's simplification is correct: 6^((a+3)-b)