Pc9 8 powersrootsc

De Moivre's theorem provides a formula for raising complex numbers to rational powers including negative exponents and fractions. The theorem states that (a + bi)^n = a^n(cos(nθ) + i*sin(nθ)) where a and b are real numbers, i is the imaginary unit, n is any rational number, and θ is the angle whose tangent is b/a. Classwork on powers and roots of complex numbers using De Moivre's theorem is due tomorrow for students who don't finish it in class today.