# Homework Help: Prove its abelian is this proof correct

1. Mar 17, 2012

### natasha d

1. The problem statement, all variables and given/known data
(ab)$^{n}$= a$^{n}$b$^{n}$ for any 3 consecutive numbers n $\in$N

2. Relevant equations
for an abelian group G, ab=ba $\forall$a,b$\in$G
if a$\in$G, a has an inverse element also $\in$G such that aa$^{-1}$ = e

3. The attempt at a solution
doesnt look right but heres the attempt

http://pics.livejournal.com/jackdnutter/pic/000013d1 [Broken]

Last edited by a moderator: May 5, 2017
2. Mar 17, 2012

### Oster

3. Mar 17, 2012

### natasha d

yeah it does, which is why I asked. Whats wrong with it though? if someone could point out the flawed reasoning maybe it'd better my understanding of group theory.
Thanks for the link, the (ba)$^{∞}$ proof was hilarious