Question

i^-35 =___________________

(a) 1

(b) -1

(c) i

(d) -i

This question was addressed to me by my school teacher while I was bunking the class.

I need to ask this question from Complex Numbers-2 topic in portion Complex Numbers and Quadratic Equations of Mathematics – Class 11

Answer 1

Right option is (c) i

The explanation: We know, i^-35= 1/i^35 = i/i^36

= i/(i^4)^9 = i/1 = i.