Question 2: a. Let G be a group and a E G. Show that if |a| = n, then |a¹| = n. b. Without computing the orders, explain why the two elements 7 and 13 from U(15) must have the same order. (Hint: Use the result of question 2 - part a).

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Q: -) Write the Cayley table for the group U(15).

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