1)Express the complex number i⁹ + i¹⁹ in the form of a + ib 2) Find multiplicative Inverse of 4 – 3i Question 1)Express the complex number i⁹ + i¹⁹ in the form of a + ib 2) Find multiplicative Inverse of 4 – 3i in progress 0 Math Camila 2 weeks 2021-10-08T06:25:36+00:00 2021-10-08T06:25:36+00:00 1 Answer 0 views 0

## Answers ( )

(i) Express the complex number i⁹ + i¹⁹ in the form of a + ib .

Solution:we know that,

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(ii) Find multiplicative Inverse of 4 – 3i

= 1/(4 – 3i)

Rationalisingthedenominator:= 1/(4 – 3i) × (4 + 3i)/(4 + 3i)

= (4 + 3i)/(4 – 3i)(4 + 3i)

ByusingIdentity(a+b)(a–b)=a²–b²= (4 + 3i)/(4² – (3i)²)

= (4 + 3i)/(16 + 9)

= (4 + 3i)/25

= 4/25 + 3i/25

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