(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Group theory. Help

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