ℹ️ Powers of i Calculator
Calculate powers of the imaginary unit
How to Use This Calculator
1
Enter Power
Type any integer power of i.
2
Get Result
See simplified value using the 4-cycle pattern.
Powers of i
i repeats every 4 powers
Pattern:
i⁰ = 1
i¹ = i
i² = -1
i³ = -i
i⁴ = 1 (cycle repeats)
About Powers of i Calculator
The Powers of i Calculator calculates powers of the imaginary unit i (√-1). Powers of i cycle every 4: i, -1, -i, 1.
When to Use This Calculator
- Complex Numbers: Work with imaginary units
- Education: Learn powers of i
Why Use Our Calculator?
- ✅ 4-Cycle Pattern: Uses repeating pattern
- ✅ Instant Results: Calculate quickly
- ✅ Educational: Learn imaginary units
- ✅ Completely Free: No registration required
Frequently Asked Questions
What is i?
i is the imaginary unit where i² = -1. It's used in complex numbers: a + bi.
Why do powers of i repeat?
Since i⁴ = 1, i⁵ = i, i⁶ = i² = -1, etc. Every 4 powers, the cycle repeats.