Complex Numbers 7
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Lesson Summary:
In this lesson on Complex Numbers, the focus is on simplifying powers of i. The video teaches how to find and simplify powers of i using laws of exponents and examples to demonstrate the process. The key takeaway is that the remainder of the exponent when divided by four is what really matters for the answer, making it easier to calculate powers of i.
Lesson Description:
Several examples are provided, showing how to simplify powers of i.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- Why does i^5 equal i?
- What does i^20 equal?
- What does i^22 equal?
- What does i^32 equal?
- What does i^44 equal?
- How do you simplify powers of i?
- What does i^3 equal?
- What does i^4 equal?
- What does i^57 equal?
- What does i^103 equal?
- Why do you divide the power of i by 4 and look at the remainder to figure out what i to a power equals?
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Staff Review
This lesson explains i to higher powers than 2 and how to simplify them back down to 1, -1, or i. The steps involved in simplifying these powers of i are explained. The basics are used to build up to these higher powers in this very useful lesson.
