### Product of Disjoint Cycles

In S(5) let pi=(245)(1354)(125). Write pi as a product of disjoint cycles and then answer the following questions. (a) Determine pi^2, pi^5, pi^(-1). (b) What is the order of pi? Why?

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In S(5) let pi=(245)(1354)(125). Write pi as a product of disjoint cycles and then answer the following questions. (a) Determine pi^2, pi^5, pi^(-1). (b) What is the order of pi? Why?

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