Can I reverse the modulo operator in complex numbers?

Question

Can I reverse the modulo operator in complex numbers?

Say I have

$$|z_1||z_2|$$

where $z_1, z_2 \in \mathbb{C}$.

Then is it legit to say that:

$$=z_1z_2$$

Answer 1

It is true that $$|z_1||z_2|=|z_1z_2|.$$