Relations and Functions

Relations and Functions

Question

Simplify

(1 -i)4

Answer

(1 -i)4  = [(1 - i)2] = [(1)2 + (i)2 - 2(1) (i)2 = (1 + i2 - 2 i)2
           = [ 1 - i - 2i]2 = [-2i]2 = 4i2 = 4 (-1) = -4

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