Question

If z=1-i , find the imaginary part of z^6
.

Answer 1

Answer:

-8

Step-by-step explanation:

(1+i)^6= ((1+i)^2)^3=(1+i²+2i)^3=(1-1+2i)^3=(2i)^3=8i³=8*i²*i=8*-1*i=-8i

so imaginary part= -8