Express each of the complex number given in the Exercises 1 to 10 in the form a + ib :
i^-39

Solution:

The given complex number is,

i^{- 39} = i^{4 x (- 9) - 3}

= (i⁴) ^{- 9} x i^{- 3}

= (1) ^{- 9} x i^{- 3} [∵ i⁴ = 1]

= 1/i³

= 1/ - i [∵ i³ = - i]

= 1/ - i x i/i

= - i/i²

= - i/- 1 [∵ i² = - 1]

= i

= 0 + i

NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.1 Question 3

Express each of the complex number given in the Exercises 1 to 10 in the form a + ib : i^-39

Summary:

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