Answer: 1
Step-by-step explanation:
we are to find the value of i^n if the remainder of n/2 =4
First, we need to find what n is.
To find n;
n/4 = 2
we simply multiply bothside of the equation by four
n/2 ×4 = 2 ×4
n = 8
Next is for us to know what i stand for.
i usually show the imaginary part if a complex number.
In Mathematics, i = √(-1)
which implies i² ⁼ √(-1) ×√(-1) = - 1
Now back to our question,
iⁿ = i⁸ (since n=8)
Now ,
i⁸ = i² × i² × i² × i²
= -1 × -1 × -1 ×-1 (remember i²=-1)
=1
Therefore, iⁿ is 1 if the remainder of n/4 is 2
, where 
.