1. The problem statement, all variables and given/known data If G is an abelian group, then (ab)^2=a^2b^2 for all a, b in G. Give an example to show that abelian is necessary in the statement of the theorem. 2. Relevant equations 3. The attempt at a solution Abelian implies commutativity. a*b=?b*a a^2b^2=b^2a^2 For example ab=ba must be true for the statement to work.