Category Archives: Complex Numbers

Powers of i

Example: Simplify the power of i.




Rewrite the exponential expression with negative exponents by using the reciprocal property.


Simplify the i^59 by dividing 59 by 4.  The remainder will tell you which position in the pattern you are in.  59 divided by 4 is 14 with a reminder of 3.



=1/{-i}  {i /i}