(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]z=\frac{(1-3i)^{100} * i * (7-5i)}{5+7i}[/tex]

2. Relevant equations

Find module and argument of z.

3. The attempt at a solution

Assuming:

[tex]|z_1 * z_2| = |z_1||z_2|[/tex]

[tex]|z|=\frac{|1-3i|^{100} * |i| * |7-5i|}{|5+7i|}[/tex]

And now calculate each module individually by "Pythagoras theorems"

[tex]|z|=\frac{\sqrt{10}^{100} * 1 *\sqrt{74}}{\sqrt{74}}=10^{50}[/tex]

And I do now know how to calculate argument now.

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# Homework Help: Complex number argument and module

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