# Ch 2: Understanding Exponential Expressions

### About This Chapter

## Understanding Exponential Expressions - Chapter Summary

Feel confident that you understand exponential expressions using this chapter's fun lessons. Topics covered in this chapter include the power of zero, negative exponents and the order of operations. Study these lessons at your own pace. When you've finished, you will be able to do the following:

- Write exponential notation for a product
- Simplify and solve exponential expressions
- Use the rules for the order of operations to simplify expressions
- Multiply and divide exponential expressions
- Define the power of zero and simplify exponential expressions
- Write powers of fractions and decimals using negative exponents
- Utilize the rule for raising a power to a power to simplify exponential expressions

Enjoy 24/7 access to the fun lessons in this chapter. Each lesson is available as a short video or full transcript and can be viewed using any computer or mobile device with an Internet connection. If you hit a snag or need to clarify details covered in the lessons, feel free to send your questions to our experts. Before the day of your test, be sure to check your knowledge of exponential expressions by taking the practice exam.

### 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.

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### Other Chapters

Other chapters within the Pennsylvania Algebra I Keystone Exam: Test Prep & Practice course

- Real Numbers & Expressions
- Working with Radical Expressions
- Understanding Absolute Value Expressions
- Estimation & Math Problem-Solving
- Solving Problems with Polynomials
- Solving, Writing & Graphing Linear Equations
- Solving Problems with Systems of Equations
- Solving & Graphing Linear Inequalities
- Understanding Function Basics
- Using Scatter Plots
- Understanding Basic Statistics
- Interpreting & Graphing Data
- Understanding the Probability of Compound Events
- Pennsylvania Algebra I Keystone Exam Flashcards