I'd like to know the way Mathematica evaluates x^(1/3) because if I have say f[x_]:=x^(1/3) then
for N[f[-9]] I obtain roughly 1.04+1.80i
But obviously this can't be true since it should really be about -2.08. (-2.08*-2.08*-2.08 ~ -8.99, which is what the cubic root should be)
So what does the complex number represent, where does it come from, and how do I evalute x^(1/3) correctly.