SOLUTION: -i^6699

Algebra.Com
Question 652612: -i^6699
Found 2 solutions by nikkidream97, Edwin McCravy:
Answer by nikkidream97(1)   (Show Source): You can put this solution on YOUR website!
-i^6699
6699 divided by 4 = 1674.75
.75 = 3 quarters
-i^3= i

Answer by Edwin McCravy(20077)   (Show Source): You can put this solution on YOUR website!

All we need are these facts:

i2 = -1

(-1)ODD = -1, 

(-1)EVEN = 1 

-i6699 = -(i6699) = -(i6698+1) = -(i6698i1) = -(i2·3349i1) = -(i2)3349i = -(-1)3349i = -(-1)i = i

Edwin


RELATED QUESTIONS

i (answered by Jim123393)
i (answered by Alan3354)
I (answered by Alan3354)
i+i^2+i^3+...+i^49= (answered by bucky)
simplify:... (answered by rapaljer)
2 + i/ i +... (answered by stanbon)
(√3+i)/(√3-i) (answered by Alan3354)
(x+i)(x-i) (answered by Alan3354)
(1+i)+(3+i) (answered by Edwin McCravy)