How do you simplify

(x^a+b)^a-b / (x^a-2b) ^ a+2b

are the exponents (a-b) and (a+2b)

You have to use grouping symbols.

I'm sorry for not using grouping symbols! You are correct, the exponents are (a-b) and (a-2b)

To simplify the expression (x^a+b)^(a-b) / (x^a-2b)^(a+2b), we can follow these steps:

Step 1: Distribute the exponents
(x^a+b)^(a-b) becomes (x^(a(a-b)) + b^(a-b))
(x^a-2b)^(a+2b) becomes (x^(a(a+2b)) - 2b^(a+2b))

Step 2: Simplify the exponents
(x^(a(a-b)) + b^(a-b)) / (x^(a(a+2b)) - 2b^(a+2b))

Step 3: Combine like terms
Since there are no like terms, we can't combine them further.

Therefore, the expression (x^a+b)^(a-b) / (x^a-2b)^(a+2b) cannot be simplified any further.