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

Using only the axioms for a field, give a formal proof for the following:

a) 1/z_{1}z_{2}= 1/z_{1}1/z_{2}

b) 1/z_{1}+ 1/z_{2}= z_{1}+ z_{2}/z_{1}z_{2}

3. The attempt at a solution

I really am having a tough time understanding this problem. I know the axioms of a field

i.e. associativity and commutativity for addition and multiplications (those are the only axioms she cares about) but how do i use these to show the above is true?

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# Homework Help: Complex numbers + fields

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