Question 8:
Express the given complex number in the form a + ib: (1 – i)4
Answer
(1 – i)4 = [(1 – i)2]2
= [12 + i2 – 2i]2
= [1 – 1 – 2i]2
= (−2i)2
= (−2i) × (−2i)
= 4i2 = −4 [i2 = −1]
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Question 8:
Express the given complex number in the form a + ib: (1 – i)4
Answer
(1 – i)4 = [(1 – i)2]2
= [12 + i2 – 2i]2
= [1 – 1 – 2i]2
= (−2i)2
= (−2i) × (−2i)
= 4i2 = −4 [i2 = −1]
Latest Govt Job & Exam Updates: