10.3.32 Operations with complex numbers
condition: Find the value of the expression \( z=z_{1}+z_{2}^{3} / z_{3} \). \[ z_{1}=3 \sqrt{2} e^{\frac{3 \pi}{4} i}, \quad z_{2}=-\sqrt{3}+i, \quad z_{3}=2 e^{-\pi i} \]
Operations with complex numbers, their algebraic, trigonometric and exponential forms. Derivatives of functions, finding complex roots of polynomials, solving equations in complex numbers.