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复数(1+1i)6等于()A.8B.-8C.8iD.-8i

题目详情
复数(1+
1
i
6 等于(  )
A.8 B.-8 C.8i D.-8i
▼优质解答
答案和解析
方法1: (1+
1
i
) 6 = (1+
i
i 2
) 6 = (1-i) 6 = [ (1-i) 2 ] 3 = (-2i) 3 =8i .
方法2: (1+
1
i
) 6 = (
1+i
i
) 6 =
(1+i) 6
i 6
=
[ (1+i) 2 ] 3
i 2
=8i
故选C.