Question

Question 3 Express the given complex number in the form a + ib: i^(–39)

Class X1 - Maths -Complex Numbers and Quadratic Equations Page 103

Answer 1

i^(-39)
we know, a^(-n) = 1/aⁿ, use this here.
i^(-39) = 1/i^(39)
Multiply i with numerator and denominator
= i/i^39×i
= i/i^40
= i/(i⁴)^10
we know,
i⁴ = 1 use this here,

= i/(1)^10 = i
= 0 + i

hence, i^(-39) = 0 + i