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What do you need to know to simplify an imaginary number to a higher power

What do you need to know to simplify an imaginary number to a higher power

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of i to the power of 3?

1

-1

-i

i

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the powers of the imaginary unit 'i' after the fourth power?

They become zero

They become undefined

They start repeating

They double in value

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you simplify i to the power of 7?

Divide 7 by 4 and use the remainder as the new power

Multiply 7 by 4 and use the result as the new power

Subtract 4 from 7 and use the result as the new power

Add 4 to 7 and use the result as the new power

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the remainder when dividing 9 by 4?

0

3

1

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is essential for simplifying complex numbers?

Understanding trigonometry

Memorizing all prime numbers

Knowing the rules of exponents

Understanding calculus

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