Ch 19: Introduction to Exponents

About This Chapter

Improve your understanding of exponents with this introductory chapter on the five main exponent properties and zero exponents, among other topics. If you are preparing for an exam or class discussion, these lessons and quizzes can help boost your confidence by testing your knowledge in advance.

Introduction to Exponents - Chapter Summary

You can review examples of scientific notation, as well as details about evaluating exponents and writing powers of fractions with this introduction to exponents. You can also take a closer look at fractional bases. By the end of the chapter, you should feel confident and prepared to:

  • Explain why the five primary exponent properties are used
  • Provide a definition for a negative exponent
  • Discuss how an exponent is evaluated with fractions
  • Describe the evaluation of exponents with decimal bases
  • Explain why rational exponents are used
  • Recall special rules for multiplying with exponents
  • Discuss writing an exponential notation for a product
  • Recount how negative exponents are used

The clear and simplified teaching style used by our educators can help to ensure you understand exponents. A brief quiz is available for each lesson to test your knowledge. Each video lesson includes a full written transcript that you can print and use to study on the go.

9 Lessons in Chapter 19: Introduction to Exponents
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!

Exponents with Fractional Bases

3. Exponents with Fractional Bases

Watch this video lesson to learn how you can evaluate fractions that have exponents attached to them. Learn how the numerator and denominator behave with exponents.

Exponents with Decimal Bases

4. Exponents with Decimal Bases

After watching this video lesson, you will be able to evaluate any exponents with decimal bases. Learn what the exponent does to the decimal and how to get your answer.

Rational Exponents

5. 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.

Multiplying With Exponents

6. Multiplying With Exponents

Watch this video lesson to learn how you can use exponents to help you multiply numbers together. Learn what kinds of numbers you can multiply together with exponents and how to write them.

Scientific Notation: Definition and Examples

7. 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

8. 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.

Negative Exponents: Writing Powers of Fractions and Decimals

9. 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.
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Other Chapters

Other chapters within the MTLE Middle Level Mathematics: Practice & Study Guide course