# DeMoivre's Theorem and Power of Complex Numbers

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Use DeMoivre's Theorem to find the indicated power of the following complex numbers:

1. Find the fourth roots of 256(1+3i )

2. Find all solutions of the equation x3  27i = 0

[please show all the steps, including the algebraic ones]

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https://brainmass.com/math/complex-analysis/demoivres-theorem-power-complex-numbers-46785

#### Solution Preview

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Use DeMoivre's Theorem to find the indicated power of the following complex numbers:

1. Find the fourth roots of 256(1+ïƒ–3i )

2. Find all solutions of the equation x3 ï€ 27i = 0 ...

#### Solution Summary

This shows how to use DeMoivre's theorem to find complex roots.

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