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### Theorem Overview

##### In your own words, describe each theorem as it relates to polar equations.

Theorem | Description |

Product Theorem | ________________________________________________________________ |

Quotient Theorem | ________________________________________________________________ |

DeMoivre's Theorem | ________________________________________________________________ |

**.**

##### Complete the theorems:

____________________________________

.

____________________________________

.

____________________________________

Where and let be a positive integer.

.

The general rule for finding the roots of a complex number if is _____________________________________________ *( Hint: start wth DeMoivre's Theorem)*.

### Practice

Multiply each pair of complex numbers. If they are not in trigonometric form, change them before multiplying.

Find the principal fifth roots of each complex number. Write your answers in standard form.

Click here for more help with equations using DeMoivre's Theorem.