Question

Simplify i^41

Answer 1

\[\Huge i\]

Answer 2

just i^1, so i.

Answer 3

My crappy notes from math lol:
-If you start off with i^0 you will always get 1. Add i^(4+0) and you still get 1. And so on.
-Do the same for i^1 you get i. Add i^(1+4) you still get i.
-Same thing for i^2 which is -1. i^(2+4) yah get -1. i^(6+4) = -1
-And lastly i^3= -i. i^(3+4) = -i.

Nifty little trick to remember how to do it.

Answer 4

thanks!

Answer 5

thats an awesome trick. Thanks soo much! :)

Answer 6

using et45's logic,

i^41 = i^(41mod4) = i^(1) = i

Answer 7

Basic pattern is i^N = i^(Nmod4)