Complex NumbersMedium
Question
If ω is an imaginary cube root of unity, then (1 + ω - ω2)7 is equal to
Options
A.128 ω
B.- 128 ω
C.128 ω2
D.- 128 ω2
Solution
(1 + ω - ω2)7 = - ω2 - ω2)7 (∵ 1 + ω + ω2 = 0)
= (- 2ω2)7 = (- 2)2ω14 = - 128ω2
= (- 2ω2)7 = (- 2)2ω14 = - 128ω2
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