Question

Which of the following is equivalent to the expression i^22?

Answer 1

i^22 = -1.

Explanation:

i^22 = (i^4)^5 * i^2

Now i^2 = -1 ( by definition)

and i^4 = i^2 * i^2 = -1 * -1 = 1

So i^22 = 1^5 * -1

= 1 * -1

= -1.

Answer 2

Explanation:

`i^(22)=i^(2*11)=(i^(2))^(11)=(-1)^(11)=-1`