Powers of 'i' Worksheet
Explore and master the cyclical nature of powers of the imaginary unit 'i' with this Grade 10 math worksheet.
Includes
Fill in the BlanksMultiple ChoiceShort AnswerTrue / False
Standards
CCSS.MATH.CONTENT.HSN.CN.A.1CCSS.MATH.CONTENT.HSN.CN.A.2
Topics
mathalgebracomplex numberspowers of iimaginary numbersgrade 10
6 sections · Free to use · Printable
Powers of 'i' Worksheet
Name:
Date:
Score:
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?
a
1
b
-1
c
i
d
-i
7. Simplify i¹⁰².
a
1
b
-1
c
i
d
-i
8. Explain the cyclical pattern of the powers of 'i'.
9. Simplify i⁵. Show your work.
10. Calculate i⁵⁰ + i⁵¹.
11. i⁹⁹ = -i
T
True
F
False
12. i⁴⁰⁰ is equal to 1.
T
True
F
False