Exponents Resources

Exponents represent an abstract unit whose value correlates to a given number. In a way, exponents are like shorthand for multiplication; they indicate the number of times a given value will be multiplied by itself, so they pack a lot of power. Use the resources on this page to develop a clearer understanding of why and how 2³=2 × 2 × 2.

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Exponents and Powers of Ten

Lesson Plan

I Got The Power!

Lesson Plan

Do your students understand the power of 10? This lesson will allow your students to see the utility of the power of 10 in mathematics and come to a concrete conclusion of how 10 impacts the value of mathematical equations.

Worksheet

Exponents Rules

Worksheet

Help your fifth grader tackle exponents with this introductory worksheet.

Worksheet

Multiplying with Exponents

Worksheet

Help your fifth grader tackle multiplying with exponents with this algebra worksheet.

Lesson Plan

Math Classroom Challenge: Decimals

Lesson Plan

Help your students master decimals with this engaging math lesson. Your class will put their art skills to work creating a poster, and will practice mathematical explanations through peer collaboration.

Worksheet

Exponents Expressions

Worksheet

Don't let your kid be intimidated by exponents. Exponents are easy to learn with this simple step-by-step worksheet.

Worksheet

Power Play: Dividing with Exponents

Worksheet

Don't let your fifth grader despair--when the base numbers are the same, dividing with exponents isn't tricky at all thanks to a helpful formula.

Worksheet

Multiplying Numbers with Exponents

Worksheet

Raising an exponential expression to a power isn't half as difficult as it sounds. Challenge your fifth grader to give it a try with help from this worksheet.

Demystify the concept of exponents for students with a simple round of practice with this exercise.

Workbook

Power Play: Exponents and Equations

Workbook

Students familiarize themselves with pre-algebra concepts and vocabulary — including factors, base numbers, exponents, variables, and value — in this introductory overview. This workbook offers plenty of hands-on practice so that students can gain confide

Worksheet

Introduction to Exponents: What Is an Exponent?

Worksheet

This worksheet provides students with an explanation of how to simplify an expression using exponents.

Worksheet

Evaluating Expressions: Order of Operations with Exponents

Worksheet

This worksheet introduces fifth graders to a friend who can help them remember the order of operations: PEMDAS! This acronym stands for parentheses, exponents, multiplication, division, addition and subtraction.

Worksheet

From Words to Symbols: Test Your Math Vocabulary (Part One)

Worksheet

This worksheet provides a great way to test students' knowledge of math vocabulary and math reasoning.

Worksheet

Exponents as Cubes

Worksheet

How are cubes related to exponents? This worksheet helps students to explore this topic by explaining that when you “cube” a number you are multiplying it by itself two times.

Worksheet

Introduction to Exponents: Exponents Make Numbers More Powerful

Worksheet

This worksheet introduces students to a key pre-algebra concept: Every time you multiply a number by another number, its value increases.

Worksheet

Introduction to Exponents: Understanding Key Terms

Worksheet

From Symbols to Words: Test Your Math Vocabulary (Part Two)

Worksheet

This is a great challenge for fifth graders learning how to evaluate an expression.

Worksheet

Practice with Exponents: There’s More Than One Way to Write a Number!

Worksheet

This year, fifth graders will be introduced to the idea that there are many ways to write or represent numbers that are multiplied by themselves.

Worksheet

Evaluating Expressions Using Variables

Worksheet

Exponents 101

An exponent is a useful tool that shortens mathematical formulas used in economics, chemistry, computer science, and many other fields. Mathematical operations involving exponents contain two numbers, a base (b) and an exponent (n). The exponent indicates how many times the base must be multiplied by itself. Thus, exponentiation results depend on the values of both base and exponent; are they positive or negative, integers or fractions?

Basic exponent uses include:

“b squared” or “b to the power of 2” = b² = b × b

“b cubed” or “b to the power of 3” = b³ = b × b × b

Interesting exponent results occur when the exponent is 0 or below:

b⁰ = ^b¹⁄_b = 1

b^-1 = ^b⁰⁄_b = ¹⁄_b

b^-n = ¹⁄_bⁿ
When the base is 0, no matter the exponential value, the resulting unit will always be 0:

0³ = 0 × 0 × 0 = 0

0¹⁵ = 0
It is important to understand the basics of using exponents. You will soon find them necessary to calculate area, perimeter, and volume, among other values:

The area of a square: A = s²

The area of a circle: A = πr²

The volume of a cube: V = s³

The volume of a sphere: V = ⁴⁄₃πr³

The perimeter of a right triangle: P = a+b+√a²+b²

And more!
Practice calculating mathematical operations containing exponents by utilizing the resources on this page, and your skills will increase exponentially!

Exponents Resources

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Exponents 101

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