chatherine simplifies (6^(a)*6^(3))/(6^(b)) to 6(a-3+b)

Question

justin simplifies the same expression but gets a different answer,6^((a+3)-b)

Answer 1

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)