# De Moivre’s Theorem Powers of Complex Numbers.

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De Moivre’s Theorem Powers of Complex Numbers

De Moivre’s Theorem We use this theorem to:
I. Simplify complex numbers raised to a power. II. Solve certain types of equations, or find the nth roots of a complex number. I. POWERS

De Moivre’s Theorem: You need to know:
A. Convert rectangular form into trigonometric form B. Simplify fractions C. Simplify radicals

Problem 1 Then, find the angle:

Practice: Use De Moivre’s theorem to find (-1 + i√3 )12
a. Convert the complex number to trig form: b. Then use De Moivre’s Theoem to find the value Answer: 4096