Question

What is the value of i^n if the remainder of n/4 is 2

Answer 1

-1

Explanation:

The remainder of n/4 is 2

n/4 represents the exponent

For example if n=6 then when we divide 6/4 the remainder is 2

if n=6 then i^6 = i^4 * i^2 = 1* (-1) = -1

The value of i^2=-1

i^2 = -i

i^4= 1

So if the remainder of n/2 =2 then it means i^2 = -1

the value of i^n =-1