1. The problem statement, all variables and given/known data Let G(*) be a group. If x.y are elements of G show that (x*y*z^-1)^-1 = x*y^-1*x^-1 2. Relevant equations 3. The attempt at a solution I first took the left side of the equation and computed the inverse and I got x^-1*y^-1*z I then let this equal to the righthand side and concluded since the elements are in a group the associativity law holds they are equal. I was just wondering is this valid or am I missing something.