i^20
i^N, where N is any integer evenly divisible by 4, equals i.
So the answer is i.
Actually, i^2 = -1, so i^4 = 1.
i^20 = (i^4)^5 = 1^5 = 1
To find the value of i^20, we need to understand the properties of the imaginary unit i. The imaginary unit i is defined as the square root of -1, i.e., i^2 = -1.
Using this property, we can simplify i^20 by repeatedly applying the rule of i^2 = -1:
i^20 = (i^2)^10 = (-1)^10 = 1^10 = 1
So, i^20 equals 1.