Question: Let w be the complex number (1/2) (1 + i). (a) Show that w8 = 1 but of wn 1 for n Z+,

Let w be the complex number (1/√2) (1 + i).
(a) Show that w8 = 1 but of wn ≠ 1 for n ∈ Z+, 1 ≤ n ≤ 7.
(b) Verify that [wn|n ∈ Z+, 1 ≤ n ≤ 8] is an abelian group under multiplication.

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