# 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}

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

= (1) ^{- 9} x i^{- 3} [∵ i^{4} = 1]

= 1/i^{3}

= 1/ - i [∵ i^{3} = - i]

= 1/ - i x i/i

= - i/i^{2}

= - i/- 1 [∵ i^{2} = - 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.

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