1. The problem statement, all variables and given/known data If G is a finite group and g is in G, then there exists a positive integer r with g^r=e. and in general, prove that, in any finite group G, the inverse of each element is a power of itself. 2. Relevant equations 3. The attempt at a solution I know if a group is finite then it has a finite order, which means g^n=e, but how do you write that as a proof?