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Ch 19: 8th Grade Math: Exponents & Exponential Expressions

About This Chapter

Our fun and engaging video lessons and short quizzes can help 8th graders quickly become familiar with operations involving exponents and exponential expressions. Students can watch the short lessons, read transcripts to review key terms then take the quiz to verify they understand the material.

8th Grade Math: Exponents & Exponential Expressions - Chapter Summary

Use these videos and quizzes to help your 8th graders gain confidence with the exponents and exponential expressions operations they're learning in class. Dynamic animations and real-life examples make it easy for students to master these concepts and quickly get up to speed on scientific notation, rational exponents, the power of zero and more. Help your 8th graders verify their comprehension of these topics by assigning them the self-assessment quizzes that follow each lesson and the chapter exam.

Chapter Lessons and Objectives

Lesson Objective
What Are the Five Main Exponent Properties? Students learn about the five main exponent properties and their uses.
How to Define a Zero and Negative Exponent Lessons teach students the process for defining a zero and negative exponent.
Exponents with Fractional Bases Instructors use examples to teach how to evaluate exponents with fractions raised to a power and exponents with fractional bases.
Exponents with Decimal Bases Students study examples and learn how to evaluate exponents that have decimal bases.
How to Simplify Expressions with Exponents Students can practice applying exponent properties to simplify expressions.
Rational Exponents Lessons explain what rational exponents are and why they are used.
Simplifying Expressions with Rational Exponents Students apply their knowledge of rational exponents by performing operations on expressions.
Scientific Notation: Definition and Examples Videos teach methods for writing numbers using scientific notation.
How to Use Exponential Notation Instructors help students write exponential notation for products using examples.
Simplifying and Solving Exponential Expressions Lessons outline the steps for simplifying and solving expressions that use exponential notation.
Exponential Expressions & The Order of Operations Students practice applying the rules for order of operations to simplify expressions.
Multiplying Exponential Expressions In this video, instructors detail the process used to multiply exponential expressions.
Dividing Exponential Expressions Students learn how to divide exponential expressions in this lesson.
The Power of Zero: Simplifying Exponential Expressions Lesson explains the rule that is used for raising a real number to a zero power and how it's used to simplify expressions.
Negative Exponents: Writing Powers of Fractions and Decimals Instructors teach students how to write powers of fractions and decimals using negative exponents.

13 Lessons in Chapter 19: 8th Grade Math: Exponents & Exponential Expressions
Test your knowledge with a 30-question chapter practice test
What Are the Five Main Exponent Properties?

1. What Are the Five Main Exponent Properties?

We'll look at the five important exponent properties and an example of each. You can think of them as the order of operations for exponents. Learn how to handle math problems with exponents here!

How to Define a Zero and Negative Exponent

2. How to Define a Zero and Negative Exponent

The zero and negative exponent properties are two you will use quite a lot in mathematics. The negative exponent property can be confusing, but when you remember a couple fun ideas, you will get it right every time!

How to Simplify Expressions with Exponents

3. How to Simplify Expressions with Exponents

In this video, we will put all of the exponent properties we have learned together. Don't let lots of numbers and letters confuse you! Simplifying exponents can be easy and fun!

Rational Exponents

4. Rational Exponents

In this video, learn how to go from a rational exponent to a radical expression and back. No tricks or magic, just good math! We'll review the basics and look at a few examples.

Simplifying Expressions with Rational Exponents

5. Simplifying Expressions with Rational Exponents

Simplifying expressions with rational exponents is so easy. In fact, you already know how to do it! We simply use the exponent properties but with fractions as the exponent!

Scientific Notation: Definition and Examples

6. Scientific Notation: Definition and Examples

Scientific notation is a special way of writing numbers so they are easier to work with. This lesson will define scientific notations and show some examples of how to convert numbers from standard notation to scientific notation and back.

How to Use Exponential Notation

7. How to Use Exponential Notation

Exponential notation is a mathematical method for writing longer multiplication problems in a simplified manner. This lesson will define how to work with exponential notation and give some examples of how it is used.

Simplifying and Solving Exponential Expressions

8. Simplifying and Solving Exponential Expressions

What do we do with an exponent? In this lesson, we'll learn how to simplify and solve expressions containing exponents. We'll solve a variety of types of exponential expressions.

Exponential Expressions & The Order of Operations

9. Exponential Expressions & The Order of Operations

When performing mathematical operations, there is a specific order in which the operations should be performed. This includes when to simplify the exponents. This lesson will describe in what order exponents should be solved as you are performing mathematical operations.

Multiplying Exponential Expressions

10. Multiplying Exponential Expressions

There are certain rules that govern working with exponential expressions. This lesson deals with the rule for multiplying exponential expressions. It will describe the rule and give some examples of how it works.

Dividing Exponential Expressions

11. Dividing Exponential Expressions

Any time you work with expressions that contain exponents, you have to follow a specific set of rules that are not the same as when you are working with expressions that do not contain exponents. This lesson will describe the rules associated with dividing terms that contain exponents.

The Power of Zero: Simplifying Exponential Expressions

12. The Power of Zero: Simplifying Exponential Expressions

Raising a number to the power of zero is not the same as if the exponent is a number other than zero. This lesson will explain the rule involving using zero as an exponent and will give some examples of how it works.

Negative Exponents: Writing Powers of Fractions and Decimals

13. Negative Exponents: Writing Powers of Fractions and Decimals

Most numbers can be written in different ways, either as a fraction, decimal or exponent. This lesson will teach you how to write fractions and decimals using exponents and how to convert between the two.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the 8th Grade Math: Practice & Review course

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