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Complex Numbers, Standard Form and De Moivre's Theorem

1. Evaluate the expression and write your answer in the form a+bi:

i^100

2. Prove the following properties of complex numbers.

3. Find all solutions of equation:-

4. Find the indicated power using De Moivre's Theorem.

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Complex Numbers, Standard Form and De Moivre's Theorem are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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