(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let R be a ring and a,b be elements of R. Let m and n be positive integers. Under what conditions is it true that (ab)^n = (a^n)(b^n)?

2. Relevant equations

3. The attempt at a solution

We must show ab = ba.

Suppose n = 2.

Then (ab)^2 = (ab)(ab) = a(ba)b = a(ab)b = (aa)(bb) = (a^2)(b^2).

I am not sure where to go from here...

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# Homework Help: Abstract Algebra Help! Rings

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