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

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Mathematics
•
9th - 10th Grade
•
Hard
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5 questions
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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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