I am stuck and need help:
Let z= -1 - sqrt (3i) and u= e^(i3pi/4)
Write z in exponential form, and u in Cartesian form
Find the complex roots of z; write answer in Cartesian form
Find u^1001; in Cartesian form
Exponential form for a complex number , where is the argument of z, which can be calculated by , TAKING INTO ACCOUNT the signs of x, y.
For example, . As both the real and the imaginary part of z are negative it is the second option.
For use exponent rules and the fact that
The rest is simple standard stuff that needs to be studied, understood and practiced in any decent alebra book.
Tonio