Question 176226
The powers of i go in a cycle of 4:


{{{i^0 = 1}}}


{{{i^1 = i}}}


{{{i^2 = -1}}}


{{{i^3 = i^2 * i^1 = -1 * i = -i}}}


{{{i^4 = i^2 * i^2 = -1 * -1 = 1 = i^0}}}


and so on...


So, using integer division, divide 359 by 4 and find the remainder.  i raised to the power of 359 is equal to i raised to the power of the remainder when 359 is divided by 4.