Simplify complex numbers

i^25

[kevin]

For those who don't understand: the value of i is in a circle, what he spends the majority of the video explaining. After i^4, i^5=i^1 and i^6=i^2, etc. Using this property, we can divide the power of the i by 4 and quickly simplify high powered imaginary numbers. Here's what you're looking for now:
When dividing the power if you get this number in the remainder:
.25: square root of -1
.5: -1
.75: -i
.0: 1

example: i^43
43/4=10.75
i^43= -i

[Gabrielle-zigo]

So what he means is....25/4 = 6 and some change. 4*6=24 and what is left over is just 1. SO the answer is i (if it where 3 left over the answer would be -i) ^_O