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Course: Class 11 Math (India) - Hindi > Unit 4
Lesson 1: What are the imaginary numbers?- Introduction to the imaginary numbers (Hindi)
- Intro to the imaginary numbers
- Powers of the imaginary unit (Hindi)
- Powers of the imaginary unit
- Powers of the imaginary unit
- Simplifying roots of negative numbers (Hindi)
- Simplify roots of negative numbers
- i as the principal root of -1 (Hindi)
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Powers of the imaginary unit (Hindi)
The imaginary unit i is defined such that i²=-1. So what's i³? i³=i²⋅i=-i. What's i⁴? i⁴=i²⋅i²=(-1)²=1. What's i⁵? i⁵=i⁴⋅i=1⋅i=i. This pattern repeats itself all the time, so we can quickly tell what iⁿ for any positive integer n.