
Powers of i
Free printable Algebra 2 math worksheet for "Powers of i" — practice complex numbers. No-prep, print or assign online.
This worksheet focuses on mastering powers of the imaginary unit i, a fundamental concept in complex numbers for Algebra 2 students. Teachers can use it to reinforce understanding of cyclic patterns in powers of i and to practice simplifying complex expressions. Ideal for challenging high school students, it supports skill development in manipulating and solving problems involving complex numbers.
Learning objectives
- Calculate powers of the imaginary unit i using cyclic patterns
- Simplify expressions involving powers of i in complex numbers
- Apply properties of i to solve algebraic problems with complex numbers
Answer Key

How to use this worksheet
- Click “Download Worksheet” to get the PDF — free with a KiwiBee account (up to 25 downloads a month).
- Print at home or in class for High School; it's no-prep, with no extra materials needed.
- Use the included answer key to mark it in seconds.
Frequently asked questions
Is the “Powers of i” worksheet free?
Yes. “Powers of i” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 25 downloads a month.
What grade or age is this Math worksheet for?
It's designed for High School (ages 14–18), covering Complex numbers.
Does it come with an answer key?
Yes — a matching answer key is included so you can grade it in seconds.
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