Question

i^26

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.