What is i^4?

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Boost your skills in A Level Further Mathematics Core Pure. Study with flashcards and multiple choice questions, each question is followed by hints and explanations. Get prepared for your exam with confidence!

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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