# Evaluating a simple complex expression

1. Mar 1, 2012

### NewtonianAlch

1. The problem statement, all variables and given/known data

ℝ(3-7i)^4

Is this asking for just the real part of this complex expression? I suppose I could go about expanding the whole thing out, but is there a more convenient method? We've learnt a few methods, such as expressing it in polar form and such. But here the angle would be tan inverse of (-7/3) which renders it to some -66.80140949...

which makes it pretty hard to express in nice Pi angles.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Mar 1, 2012

### ehild

I think expanding is the simplest. First, expand (3-7i)^2 and simplify, then square again.

ehild