1. The problem statement, all variables and given/known data In a group, prove that (a^-1)^-1 2. Relevant equations no equations required 3. The attempt at a solution the inverse of a is 1/a and the inverse of 1/a is a. therefore , (a^-1)^-1 = a for all a. Also for the property of an exponent, (a^n)^m=a^(m*n) so , (a^-1)^-1=a^(-1*-1)=a, There for (a^-1)^-1 = a for all a Did I use the right methods for proving that (a^-1)^-1 =a?