**Question**

Given that a and b belongs to an Abelian Group and |a|=6 and |b|=6, whay can you say about |ab|?

**My solution**

|a|=6

a=6

a^6=e

similarly;

|b|=6

b=6

b^6=e

hence

|ab|=(ab)

(ab)=(ab)^6

=a^6b^6

=ee

=e

therefore |ab|=6 and ab belongs to G

Q; Pls what sis I do wrong in answering the question???

Thanks