# modulus and argument

• Dec 15th 2008, 04:15 AM
modulus and argument
Find the modulus and argument of the complex numbers $z_1 , z_2 ,z_3$ if $z_1=1-i$ ,
$z_2=z_1^3$ and $z_3=\frac{\sqrt3-i}{\sqrt3+i}$

I just couldn't understand this part : $z_2=z_1^3$ .. what does it mean ?
• Dec 15th 2008, 04:19 AM
mr fantastic
Quote:

Find the modulus and argument of the complex numbers $z_1 , z_2 ,z_3$ if $z_1=1-i$ ,
$z_2=z_1^3$ and $z_3=\frac{\sqrt3-i}{\sqrt3+i}$
I just couldn't understand this part : $z_2=z_1^3$ .. what does it mean ?
$z_1^3 = (1 - i)^3$ therefore $z_2 = (1 - i)^3$.