SOLUTION: z=(1-i)^10 I actually multiplied this out ten times... But I think I have the wrong number? I got -32i... is there a method for this sort of question?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: z=(1-i)^10 I actually multiplied this out ten times... But I think I have the wrong number? I got -32i... is there a method for this sort of question?      Log On


   

Question 246249: z=(1-i)^10
I actually multiplied this out ten times... But I think I have the wrong number?
I got -32i...
is there a method for this sort of question?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
You got the correct answer. Very good.
After looking at your answers you can predict that the answer for (1-i)^14=-128i
because (1-i)^2=-2i and (1-i)^6=-8i and (1-i)^10=-32i
.
Ed