If a^m b^m=b^m a^m and a^n b^n=b^n a^n ∀ a,b∈G for gcd(m,n)=1, then G is abelian.

If G is a group in which a^m b^m=b^m a^m and a^n b^n=b^n a^n ∀ a,b∈G for some relatively prime integers m and n, then show that G is abelian. ‪@AmitKumar-cg7be‬
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