mathQ wrote:Ques: If b and c are elements in a Group G, and id b^5 = C^3 = e ( e= identity element of G), then the inverse of b^2cb^4c^2 is
Can anyone please explain the answer?
speedychaos4 is right. In case you would like another explanation, here is one.
Since b^5=e, we know the following...
And since c^3=e, we also know the following...
Now it is clear what is the inverse of each element.
We construct the inverse of b^2cb^4c^2 piece-by-piece, in reverse order, so that everything simplifies to the identity.