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

(G, *) is a group (where * is a law)

And for all 'i' belonging to {2, 3, 4}, for all (x, y) belonging to G^{2}

(x * y) ^ i = (x^i) * (y^i)

(where ^ is the law : to the power of)

Question : Show that G is an Abelian (commutative) group

2. Relevant equations

3. The attempt at a solution

we have never done any questions of that sort yet, all i can say is that

"(x * y) ^ i = (x^i) * (y^i)" shows that the law '^' (to the power of) is distributive over the law '*' for 'i' belonging to {2, 3, 4}

But then i don't know where to go

Any help or directions would be appreciated, thank you :)

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# Show that a Group (G, *) definied by a condition is Abelian

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