Powers of 'i' Worksheet
Explore and master the cyclical nature of powers of the imaginary unit 'i' with this Grade 10 math worksheet.
Includes
Standards
Topics
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?
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
Related Worksheets
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Sigma Notation Practice
A Grade 10 math worksheet focusing on understanding and applying sigma notation for sums and series.
Intercepts Exploration
Explore and identify x-intercepts and y-intercepts of linear equations and graphs.
Equations with Variables on Both Sides
Practice solving linear equations with variables on both sides, including those with fractions and decimals.