- #1
Benzoate
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Homework Statement
In a group, prove that (a^-1)^-1
Homework Equations
no equations required
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?