Basic definitionEasyQuestion 230001
Question
The value of i⁴⁰ is:
- A1Correct
- B−1
- Ci
- 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.
Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.
Powers of i cycle with period 4: i¹=i, i²=−1, i³=−i, i⁴=1. Since 40 is divisible by 4, i⁴⁰ = 1.