Find the modulus and argument of a complex number

[javii]

Homework Statement

Find the modulus and argument of

z=((1+2i)^2 * (4-3i)^3) / ((3+4i)^4 * (2-i)^3

Homework Equations

mod(z)=sqrt(a^2+b^2)

The Attempt at a Solution

In order to find the modulus, I have to use the formula below. But I'm struggling with finding out how to put the equation in the formula:
I have attached a photo of how I did it so far. But unfortunately, it does not give sence.

 

[Mark44]

Homework Statement

Find the modulus and argument of

z=((1+2i)^2 * (4-3i)^3) / ((3+4i)^4 * (2-i)^3

Homework Equations

mod(z)=sqrt(a^2+b^2)

The Attempt at a Solution

In order to find the modulus, I have to use the formula below. But I'm struggling with finding out how to put the equation in the formula:
I have attached a photo of how I did it so far. But unfortunately, it does not give sence.

You could just multiply all of the factors in the numerator, and the factors in the denominator, and then do the division.
OR, you could rewrite each complex number in polar form and then do the multiplications and division.

 

[ehild]

Homework Equations

mod(z)=sqrt(a^2+b^2)

To calculate the modulus, you have to add the square of both the real and imaginary parts. But you subtracted them in the denominator.