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6.6 Day 3

Goal: Find powers and roots of complex numbers. 6.6 Day 3. De Moivre’s Theorem and n th Roots. Powers of Complex Numbers. Given: ( DeMoivre’s Theorem). Example 5a: Using De Moivre’s Theorem. Calculate . Write your answer in standard form.

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6.6 Day 3

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  1. Goal: Find powers and roots of complex numbers. 6.6 Day 3 De Moivre’s Theorem and nth Roots

  2. Powers of Complex Numbers Given: (DeMoivre’s Theorem)

  3. Example 5a: Using De Moivre’s Theorem Calculate . Write your answer in standard form.

  4. Example 5b: Using De Moivre’s Theorem Find using De Moivre’s Theorem. Write your answer in standard form. Check your answer using a graphing calculator.

  5. Let .Find for n = 0, 1, 2, 3, 4.

  6. Roots of Complex Numbers Given:

  7. Calculate the 5th roots of .

  8. Example 8: Finding Cube Roots Find the cube roots of -1. Write the roots in both trigonometric and standard form.

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