Question

Prove that if G is abelian then, for all a,b belonging to G and all integers n, that (a•b)^n = a^n • b^n.

Answer 1

@ganeshie8 you familiar with abstract algebra?

Answer 2

Newbie to abstract algebra.

Answer 3

\[(ab)^n=ababab\cdots ab\]
n times

now rearrange the letters (they commute)