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Question
Express the given complex number in the form a + ib: (1 – i)4
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Solution
(1 – i)2 = [(1 – i)2]2
= [1 – 2i + i2]2
= [1 – 2i – 1]22 [∵ i2 = -1]
= (- 2i)2
= – 2i × -2i
= 4i2
= 4(-1)
= -4
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