Relations and Functions

Relations and Functions

Question

Express each of the complex number given in the  form of  a + ib.

(1 - i)4


             

Answer

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

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