SOLUTION: i^37 plese explain how to get the answer thank you

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: i^37 plese explain how to get the answer thank you      Log On


   



Question 230168: i^37
plese explain how to get the answer thank you

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
i^37
plese explain how to get the answer thank you
------
i+=+sqrt%28-1%29
i%5E2+=+-1
i%5E4+=+1
Since i^4 = 1, any power of i is the remainder of the exponent/4
-------------
37/4 = 9 REM 1
i^37 = i^1 = i