Ch 8: Chapter 8: Exponents and Exponential Functions

About This Chapter

The Exponents and Exponential Functions chapter of this Prentice Hall Algebra I Textbook Companion Course helps students learn the essential lessons associated with exponents and exponential functions. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Exponents and Exponential Functions textbook chapter.

How It Works:

  • Identify the lessons in the Prentice Hall Exponents and Exponential Functions chapter with which you need help.
  • Find the corresponding video lessons with this companion course chapter.
  • Watch fun videos that cover the algebra topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn about:

  • Zero and negative exponents
  • Writing powers of decimals and fractions
  • Scientific notation
  • Multiplying and dividing exponential expressions
  • The power of powers
  • Five main exponent properties
  • Simplifying expressions with exponents
  • Geometric sequences
  • The definition of exponential functions
  • Exponential growth and decay
  • Compounding interest formulas

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13 Lessons in Chapter 8: Chapter 8: Exponents and Exponential Functions
Test your knowledge with a 30-question chapter practice test
How to Define a Zero and Negative Exponent

1. 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!

Negative Exponents: Writing Powers of Fractions and Decimals

2. 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.

Scientific Notation: Definition and Examples

3. 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.

Multiplying Exponential Expressions

4. 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.

Power of Powers: Simplifying Exponential Expressions

5. Power of Powers: Simplifying Exponential Expressions

Mathematics is a very logical science. There is a rule for everything and not many exceptions to those rules. Working with exponents is no different. This lesson will describe the rule for raising a power to a power and also will give some examples in how to solve them.

What Are the Five Main Exponent Properties?

6. 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!

Dividing Exponential Expressions

7. 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.

How to Simplify Expressions with Exponents

8. 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!

Finding and Classifying Geometric Sequences

9. Finding and Classifying Geometric Sequences

Want your YouTube video to get a lot of hits? Besides including a cute baby or an adorable cat, getting your video to have a big common ratio is the key. Learn what I'm talking about here!

Working with Geometric Sequences

10. Working with Geometric Sequences

In this video lesson, we'll learn how to recognize when a sequence of numbers is a geometric sequence, how to find the common ratio and how to expand a sequence to as many numbers as we want!

What Is an Exponential Function?

11. What Is an Exponential Function?

Brand new technologies don't always catch on right away because they can be expensive and don't always work as well as they should. But once the price comes down, and they start to work better, it doesn't take very long before it seems like everyone has one. Learn about the numbers behind this, exponential functions!

Exponential Growth vs. Decay

12. Exponential Growth vs. Decay

How is it that it only takes four years for our computer to go from top-of-the-line to almost worthless? Well, it has something to do with what's called exponential decay, which we'll learn about here!

Compounding Interest Formulas: Calculations & Examples

13. Compounding Interest Formulas: Calculations & Examples

Compound interest is a great way to have your money work for you. In this lesson, find out the formula for calculating compound interest and practice using the formula with several examples.

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

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