# Express each of the complex number in the exercises 1 to 10 in the form a + ib : i⁹ + i¹⁹

**Solution:**

The given complex number is,

i^{9} + i^{19} = i^{4 x 2 + 1} + i^{4 x 4 + 3}

= (i^{4} )² x i + (i^{4})^{4} x i^{3}

= 1 x i + 1 x (- i) [∵ i^{4}= 1, i^{3} = - i]

= i + (- i)

= 0

= 0 + i0

NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.1 Question 2

## Express each of the complex number in the exercises 1 to 10 in the form a + ib : i⁹ + i¹⁹

**Summary:**

A complex number is given. We have expressed the given complex number in the standard form to be 0 + i0