For an element σ ∈ D4, the order of σ refers to the smallest positive exponent n such that σ^n = σ ◦ σ ◦ · · · ◦ σ = r0 n−times (a) Find the order of each element in D4. Show your work. (b) Find the order of each element in D7.
(c) Any conjectures? Can you guess the orders of elements in Dn?