1. The problem involves the complex number in polar form: $z = r(\cos\theta + i\sin\theta)$. 2. This is the polar representation of a complex number, where $r$ is the magnitude (distance from origin) and $\theta$ is the argument (angle with the positive real axis). 3. The next step is often to use De Moivre's Theorem to find powers or roots of $z$. 4. De Moivre's Theorem states: $$z^n = r^n (\cos(n\theta) + i\sin(n\theta))$$ where $n$ is an integer. 5. For example, to find $z^2$, calculate: $$z^2 = r^2 (\cos(2\theta) + i\sin(2\theta))$$ 6. This formula helps to raise complex numbers to powers easily by multiplying the angle $\theta$ by $n$ and raising the magnitude $r$ to the power $n$. 7. Similarly, to find the $n$th roots of $z$, use: $$z^{1/n} = r^{1/n} \left( \cos\left( \frac{\theta + 2k\pi}{n} \right) + i \sin\left( \frac{\theta + 2k\pi}{n} \right) \right)$$ for $k = 0, 1, ..., n-1$. 8. This gives all $n$ distinct roots evenly spaced around the circle. 9. So, the next step depends on what you want: powers or roots, but De Moivre's Theorem is the key tool to proceed.