Algebra 2 - How to simplify an imaginary number to a higher power i^35

Algebra 2 - How to simplify an imaginary number to a higher power i^35

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Mathematics

11th Grade - University

Hard

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The video tutorial explains how to calculate powers of the imaginary unit i, focusing on i to the 35th power. It begins by demonstrating the step-by-step process to find i to the 5th and 6th powers, highlighting the repeating pattern every four powers. The instructor then introduces a shortcut using division to simplify the calculation of higher powers, specifically i to the 35th, by finding the remainder when dividing the exponent by 4. The tutorial concludes by simplifying i to the 35th as negative i.

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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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