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## Main Question or Discussion Point

let π be a product of disjoint m-cycles. Prove that π is a power of a cycle?

So this is like asking show that π = β

I don't know how to proceed on this except for the fact that the order of π is m.

any hints please

So this is like asking show that π = β

^{x}for some cycle β and pos. integer x. right?I don't know how to proceed on this except for the fact that the order of π is m.

any hints please