# Express each of the complex number 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 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