5
QuizMultiple Choice

Complex Numbers

Question 5 • Algebra III A

Which expression is equivalent to i 233?

Answer
A
1
B
–1
C
i
D
–i

Explanation

Powers of i repeat every 4: i, −1, −i, 1. Since 233 = 4 × 58 + 1, i²³³ has the same value as i¹, which is i. The equivalent expression is i.

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