# Ch 8: McDougal Littell Algebra 1 Chapter 8: Exponents & Exponential Functions

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### About This Chapter

## How It Works:

- Identify the lessons in the McDougal Littell Exponents & Exponential Functions chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the topics on exponents and exponential functions 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:

- Exponential notation
- Solving exponential expressions
- Working with the order of operations
- Exponential expressions and multiplication
- The division of exponential expressions
- The power of zero
- Negative exponents
- The power of powers
- Providing examples of scientific notation
- The definition of an exponential function
- Comparisons between exponential growth and decay

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### 1. 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.

### 2. 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.

### 3. 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.

### 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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!

### 11. 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!

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### Other Chapters

Other chapters within the McDougal Littell Algebra 1: Online Textbook Help course

- McDougal Littell Algebra 1 Chapter 1: Expressions, Equations & Functions
- McDougal Littell Algebra 1 Chapter 2: Properties of Real Numbers
- McDougal Littell Algebra 1 Chapter 3: Solving Linear Equations
- McDougal Littell Algebra 1 Chapter 4: Graphing Linear Equations & Functions
- McDougal Littell Algebra 1 Chapter 5: Writing Linear Equations
- McDougal Littell Algebra 1 Chapter 6: Solving & Graphing Linear Inequalities
- McDougal Littell Algebra 1 Chapter 7: Systems of Linear Equations & Inequalities
- McDougal Littell Algebra 1 Chapter 9: Polynomials & Factoring
- McDougal Littell Algebra 1 Chapter 10: Quadratic Equations & Functions
- McDougal Littell Algebra 1 Chapter 11: Radicals & Geometry Connections
- McDougal Littell Algebra 1 Chapter 12: Rational Equations & Functions
- McDougal Littell Algebra 1 Chapter 13: Probability & Data Analysis