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

Assessment

Interactive Video

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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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of I to the 4th power?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of multiplying exponents when simplifying complex numbers.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify I to the 26th power?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does I to the 4th equal when simplified?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the remainder when dividing 26 by 4?

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