<PRE><B>Question 426015</B>
Each time you multiply a number by {{{i}}}, you
rotate 90 degrees in the complex plane.
You start at 
i^0 = 0 degrees = (+) real numbers
i^1 = 90 degrees = (+) imaginary
i^2 = 180 degrees = (-) reals
i^3 = 270 degrees = (-) imaginary
i^4 = 360 degrees = back to (+) reals
--------------------------
Note that {{{ i^4}}} is a complete rotation back to
0 degrees
Divide {{{32}}} by {{{4}}}
{{{32/4 = 8}}}
This is 8 times around back to 0 degrees with no remainder,
so {{{ i^32 = 1 }}}</PRE>