i^26
The expression i^26 can be simplified by using the pattern of powers of i:
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
Since the pattern repeats every 4 powers, i^26 can be rewritten as:
i^26 = (i^4)^6 * i^2
Since i^4 is equal to 1, we can simplify further:
(i^4)^6 * i^2 = 1^6 * i^2 = 1 * i^2 = i^2 = -1
Therefore, i^26 equals -1.