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Problem 10 - Entrance Test

If i is the imaginary unit, what is the value of i^2023?

Correct: D

The powers of i cycle through the values i, -1, -i, 1. Since i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1, the pattern repeats every 4 powers. We can find the remainder when 2023 is divided by 4: 2023 = 4 * 505 + 3. Therefore, i^2023 = i^3 = -i.