What is i^3?

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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^3?

Explanation:
Powers of i form a four-step cycle because i^2 = -1. Each extra multiplication by i moves one step along: i^3 = i^2 × i = (-1) × i = -i. You can also see the repeating sequence i, -1, -i, 1, then back to i. So the third power gives -i, not i, -1, or 1.

Powers of i form a four-step cycle because i^2 = -1. Each extra multiplication by i moves one step along: i^3 = i^2 × i = (-1) × i = -i. You can also see the repeating sequence i, -1, -i, 1, then back to i. So the third power gives -i, not i, -1, or 1.

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