What is i^4?

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Prepare for the A Level Further Mathematics Core Pure Exam. Practice with flashcards and multiple-choice questions, each accompanied by hints and explanations. Ace your exam!

Multiple Choice

What is i^4?

Explanation:
Powers of the imaginary unit i cycle every four steps: i, i^2 = -1, i^3 = -i, i^4 = 1, and then it repeats. So i^4 is 1, since (i^2)^2 = (-1)^2 = 1. This matches the option that lists 1. The other values correspond to earlier steps in the cycle (not i^4).

Powers of the imaginary unit i cycle every four steps: i, i^2 = -1, i^3 = -i, i^4 = 1, and then it repeats. So i^4 is 1, since (i^2)^2 = (-1)^2 = 1. This matches the option that lists 1. The other values correspond to earlier steps in the cycle (not i^4).

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