# Powers of i Worksheets

What is the Cyclic Nature of the Powers of i? If you are aware of all forms of numbers, you must know what complex numbers are. These numbers have two parts, including the real part and the imaginary part. The number that is written as a co-efficient of “I” is the imaginary part of the number. “I” in this number is the imaginary unit, and it equals to √(-1) and i^2=-1. So, what is the cyclic nature of the powers of i? When something is repetitive in nature, it is termed as cyclic. Now, if you raise “I” to large power, it will create a cyclic pattern. In this case, the powers of “I” repeat in a fixed pattern, and that is i, -1, -i, and 1

 i1 i2 i3 i4 i5 i6 i -1 -i 1 i -1

• ### Basic Lesson

Guides students solving equations that involve the Powers of i. Demonstrates answer checking.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Powers of i.

• ### Independent Practice 2

Students find a series of the Powers of i in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of the Powers of i.

• ### Skill Quiz

This tests the students ability to evaluate the Powers of i.

• ### Answer Key

Answers for math worksheets, quiz, homework, and lessons.

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