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Find the modulus and argument of a complex number

  1. Feb 21, 2017 #1
    1. The problem statement, all variables and given/known data
    Find the modulus and argument of

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

    2. Relevant equations
    mod(z)=sqrt(a^2+b^2)

    3. 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.
     

    Attached Files:

  2. jcsd
  3. Feb 21, 2017 #2

    Mark44

    Staff: Mentor

    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.
     
  4. Feb 22, 2017 #3

    ehild

    User Avatar
    Homework Helper
    Gold Member

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