Arithmetic with Complex Numbers

Name: How Do You Take Any Positive Integer Power of an Imaginary Number?
Uploaded: 2025-01-08T14:35:05.517Z
Channel: House of Math
Description: The powers of the imaginary unit $$i$$ cycle through a pattern $$i^{ \ }=i, i^{ \ 2}=-1, i^{ \ 3}=-i, i^{ \ 4}=1$$. Watch this video to see examples on how to use it.

Addition and Subtraction

Positive Integer Powers

How Do You Take Any Positive Integer Power of an Imaginary Number?

The powers of the imaginary unit $i$ cycle through a pattern $i = i, i^{2} = - 1, i^{3} = - i, i^{4} = 1$ . Watch this video to see examples on how to use it.

Done

Negative Integer Powers

Activity Set 1

Boss Battle