Question

if z1z2z3---'zn=zthen find difference between argz1+argz2+---+argzn and arg z

Answer 1

$Given \prod_{i=1}^{n}z_{i}=z\\\Rightarrow arg(\prod_{i=1}^{n}z_{i})=arg(z)\\\Rightarrow\sum_{i=1}^{n}arg(z_{i})-arg(z)=0$