Hello,
The method is correct, but not the result :
i=i
iČ=-1
i^3 = -i
i^4 = 1
Okay, I think I did this right, but I'm going to post it here just to make sure.
Simplify the complex number i^31 as much as possible.
Here's what I did:
i^31
=i^30+1
=i^6*5+1
=i^1
=i
So would my final answer just be i? (assuming I did that right)
eraser,
Plato is right. When dealing with Imaginary numbers, learn those 4 powers. If the power you are to raise i to exceeds 4, you want to use and see what the remainder of powers is after you factor out a 4. Either 4 divides in evenly or it doesn't. If it does not, you are left with either , , or .
See here:
Imaginary Numbers