Express each of the complex number given in the Exercises 1 to 10 in the form a + ib :
(1 - i)4

Solution:

The given complex number is,

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

= [12 + i2 - 2i]2

= [1 - 1 - 2i]2  [∵ i2 = - 1]

= [-2i]2

= 4i2

= - 4 [∵ i2 = - 1]

NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.1 Question 8

Express each of the complex number given in the Exercises 1 to 10 in the form a + ib : (1 - i)4

Summary:

A complex number is given. We have expressed the given complex number in the standard format to be - 4 + 0i.

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