If G be an abelian group then prove that (ab)^n =a^nb^n //groups theory BSc//group theory maths

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If in a group G * a ^ 5 = e aba^-1= b^2 for a, b belongs to G then show that o(b) = 31 If in a group G * a ^ 5 = e aba^-1= b^2 for a, b belongs to G then show that o(b) = 31
If G is an abelian group then show that (ab) ^n=a^nb^n. If G is an abelian group then show that (ab) ^n=a^nb^n.
MATHEMATICS ~ Group Theory ~ Proof of (ab)^n = a^n x b^n MATHEMATICS ~ Group Theory ~ Proof of (ab)^n = a^n x b^n
20. If G is abelian then (ab)^n=a^nb^n, for all a,b in G (Proof by mathematical induction) 20. If G is abelian then (ab)^n=a^nb^n, for all a,b in G (Proof by mathematical induction)
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