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Let G be a group and a, b ∈ G. (a) Prove that (ab)2 = a2b2...

Let G be a group and a, b ∈ G.

(a) Prove that (ab)2 = a2b2 if and only if ab = ba.

(b) Prove that (ab)−2 = b−2a−2 if and only if ab = ba.

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