Groups-3 For any group G is abelian if and only if (ab)^{2}= a^{2}b^{2}, for all a, b belongs to G.

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If (ab)^3 = a^3b^3 for all a, b in G, then G is abelian .If (ab)^3 = a^3b^3 for all a, b in G, then G is abelian .