Tutorial - Rewriting an imaginary number when it is raised to a higher power ex 5, i^10

Tutorial - Rewriting an imaginary number when it is raised to a higher power ex 5, i^10

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Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify imaginary numbers raised to higher powers, specifically focusing on i to the 10th power. It introduces the cyclical nature of powers of i, where i to the 4th equals 1, and demonstrates how to use the power rule of exponents to simplify expressions. By breaking down i to the 10th into components of i to the 4th and i squared, the tutorial shows that i to the 10th simplifies to -1.

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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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