JEE Mathematics · Easy

Complex Numbers: Basic definition MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Basic definitionEasyQuestion 230001

Question

The value of i⁴⁰ is:
  1. A
    1
    Correct
  2. B
    −1
  3. C
    i
  4. D
    −i

Correct answer

1

Explanation

Powers of i cycle with period 4: i¹=i, i²=−1, i³=−i, i⁴=1. Since 40 is divisible by 4, i⁴⁰ = 1.