De Moivre’s formula allows us to conveniently compute the powers of complex numbers that are written in polar or trigonometric form. We prove de Moivre in this video, which states that $$(re^{i\theta})^n = r^n e^{i(n\theta)}.$$
De Moivre’s formula allows us to conveniently compute the powers of complex numbers that are written in polar or trigonometric form. We prove de Moivre in this video, which states that $$(re^{i\theta})^n = r^n e^{i(n\theta)}.$$