Question

Find value of i¹⁰ ?

Where \(\rm i = \sqrt{-1}\) .

1. 1
2. i
3. -1
4. -i

Answer 1

Correct Answer - Option 3 : -1

Concept:

Formula used:

• i² = -1
• i³ = i² × i = -i
• i⁴ = i² × i² = 1

 

Calculation:

To find: i¹⁰

⇒ i¹⁰ = i⁴ × i⁴ × i²

⇒ i¹⁰ = 1 × 1 × (-1)

⇒ i¹⁰ = -1