Powers of 'i' Worksheet
Explore and master the cyclical nature of powers of the imaginary unit 'i' with this Grade 10 math worksheet.
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Powers of 'i' Worksheet
Name:
Date:
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Carefully read each question and provide the correct answer. Remember the cyclical pattern of powers of 'i'.
1. The imaginary unit 'i' is defined as the square root of .
2. The value of i² is .
3. The value of i³ is .
4. The value of i⁴ is .
5. The powers of 'i' follow a cycle of distinct values.
6. What is the value of i⁷?
1
-1
i
-i
7. Simplify i¹⁰².
1
-1
i
-i
8. Explain the cyclical pattern of the powers of 'i'.
9. Simplify i⁵. Show your work.
10. Calculate i⁵⁰ + i⁵¹.
11. i⁹⁹ = -i
True
False
12. i⁴⁰⁰ is equal to 1.
True
False
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