The rules of exponents tell us to multiply the exponents when they are bracketed in this way
`therefore= x^((a-b)(a+b))/ (x^b^2)`
The rules of exponents tell us to subtract the exponents when the base is the same (in this case our base is `x` and we have a division. (If it was a multiplication, we would have added the exponents)
`therefore = ` `x^(a^2-b^2-b^2)`
Note how the exponent of x (`x^(b^2)` ) has been subtracted.
Please repost your other questions separately, in terms of enotes rules. Please also refer to the links given below which will help you
`therefore = x^(a^2-2b^2)`