Tutorial - Simplifying an imaginary number to a higher power ex 4, i^26

Tutorial - Simplifying an imaginary number to a higher power ex 4, i^26

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Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify complex numbers raised to higher powers, specifically focusing on the powers of the imaginary unit 'i'. It covers the properties of 'i', such as i^1 = i, i^2 = -1, i^3 = -i, and i^4 = 1, and demonstrates how to use these properties to simplify i raised to the 26th power. The process involves dividing the exponent by 4, using the remainder to determine the final simplified form, and understanding the multiplication of exponents.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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