Solving Complex Number Problems: z1 & z2

Lmck33
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Homework Statement



Let z1 = 4 + 3i and z2 = 2 - 5i. Find each of the following in the form
x + iy, showing the details of your work:

I'll show in the photo the 2 questions i require help with.

Homework Equations



Complex numbers

The Attempt at a Solution



attempted f) 1/z^2 = z1 = 4+3i

z1 = 4/25 - 3i/25

However I'm really lost, mind blank and more so with question e) :S

Thanks for any help .
 

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z*zbar=|z|^2.

Part e is just some real number.

Write down the expression and do the multiplication.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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