# Complexity! (1)

Algebra Level 3

$\begin{cases} \ \ \ z=x-iy \\ \sqrt[3]z=p+iq \end{cases}$

Complex number $$z$$ satisfies the system of equations above. Find the value of $$\dfrac{\left( \frac{x}{p} + \frac{y}{q} \right) }{p^2 + q^2}$$.

Notation: $$i = \sqrt{-1}$$ denotes the imaginary unit.