10.3.17 Operations with complex numbers
Condition: Complex numbers \( z_{1} \) and \( z_{2} \) are given: a) represent them as points on the complex plane; b) raise the number \( z_{1} \) to the power \( m \); c) find all values of the root \(n-\)th degree of the number \(z_{2}\); \[ z_{1}=-2-2 i, \quad m=3, \quad z_{2}=16, \quad n=4 \text {. } \]
Operations with complex numbers, their algebraic, trigonometric and exponential forms. Derivatives of functions, finding complex roots of polynomials, solving equations in complex numbers.