What does i^16 equal and how do you get the answer

i^16 = 1

Step-by-step explanation:

i = √-1 = i

i^2 = i * i = (√-1) ^2 = - 1

i^3 = i^2 * i^1 = - 1 * √-1 = - √-1 or - i

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

the order keeps following ...

i^16 = 1

since i^16 is same thing as i^4 * i^4

and we know i^4 = 1 so 1*1=1