Question

(a-b)^-3 . (a+b / b-a)^-2 . 1 / (a+b)^-3 = ...

Answer 1

(a - b)^(-3) . [(a + b)/(b - a)]^(-2) . 1/(a + b)^(-3)
= (a - b)^(-3) . (a + b)^(-2) . (b - a)^2 . (a + b)^3
= (a - b)^(-3) . (a + b)^(-2) . (a - b)^2 . (a + b)^3
= (a - b)^(-3 + 2) . (a + b)^(-2 + 3)
= (a - b)^(-1) . (a + b)^1
= (a + b)/(a - b)
catatan : (b - a)^2 = (a - b)^2 karena berpangkat genap