8. Let c, c1, C2, and z denote complex numbers, where z # 0. Prove that if all of the powers involved are principal values, then (a) z z = zi+tes: (b)

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8. Let c, c1, c2, and z denote complex numbers, where z + 0. Prove that if all of the powers
involved are principal values, then
(a) ziz2 =
zi+c2:
(b)
-
(c) (z)" = ze"
(n = 1, 2, ...).
Transcribed Image Text:8. Let c, c1, c2, and z denote complex numbers, where z + 0. Prove that if all of the powers involved are principal values, then (a) ziz2 = zi+c2: (b) - (c) (z)" = ze" (n = 1, 2, ...).
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