Exponential form
From AoPSWiki
Every complex number 
is the sum of a real and an imaginary component, 
. If you consider complex numbers to be coordinates in the complex plane with the 
-axis consisting of real numbers and the 
-axis pure imaginary numbers, then any point can be plotted at the point as 
. We can convert into polar form and re-write it as 
, where 
. By Euler's formula, which states that 
, we can conveniently (yes, again!) rewrite as 
, which is the general exponential form of a complex number.
See also
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