# Homework Help: Finding the modulus

1. Jan 10, 2012

1. The problem statement, all variables and given/known data
Find the modulus for:
(3 - 4i)^10/(2 - i)^8

2. Relevant equations

3. The attempt at a solution
I tried putting the two terms in their exponential forms. Then do simple exponential operations and convert back to cartesian form to get the modulus.
3 - 4i = $5e^{arctan(-4/3)}$
2 - i = $\sqrt{5}e^{arctan(1/2)}$

However the arguments aren't going to be exact numbers. Is there another way to approach this question?

2. Jan 10, 2012

### Dick

You left out an i on your exponents in polar form. But that's besides the point. Don't you think modulus of 3-4i would just be 5? Why or why not?

3. Jan 10, 2012