I do not know how to break down this problem in a simple way to find the answer. \((1-i)^10\) (raised to tenth power, not \((1-i)^1 * 0\))
The choices are : -32i, -32 + 32i, 32, and 32 - 32i. Thanks!
( 1 - i )^10
[ (1 - i)^2 ] ^5
[ (1 - i) (1 - i ) ]^5
[ 1 - 2i + i^2 ]^5 { i^2 = -1 }
[ 1 - 2i - 1 ]^5
[ - 2i ]^5
(-1)^5 * (2)^5 * i^5 { i^5 = i }
-1 * 32 * i
-32 i