# Ch 9: Glencoe Pre-Algebra Chapter 9: Powers and Nonlinear Equations

### About This Chapter

## How It Works:

- Identify the lessons in the Glencoe Powers and Nonlinear Equations chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the topics on exponents and nonlinear equations 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:

- Exponential notation
- How to simplify and solve exponential expressions
- Prime factorization
- Multiplying and dividing exponential expressions
- Zero and negative exponents
- Scientific notation
- Products of powers
- Using graphs and tables to identity linear and nonlinear functions
- What parabolas are
- How quartics, cubics and quintics are graphed
- Exponential functions

*Glencoe is a registered trademark of McGraw-Hill Education, which is not affiliated with Study.com.*

### 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. How to Find the Prime Factorization of a Number

The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.

### 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. 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.

### 9. Product Of Powers: Definition, Rule & Property

The product of powers rule states that when multiplying two powers with the same base, just add the exponents. Confused yet? This lesson will clear everything up, give some examples and provide a quiz for you to test your knowledge.

### 10. Identifying Linear & Nonlinear Functions Using Graphs & Tables

All functions are either linear or nonlinear. In this lesson, we will learn how to identify linear and nonlinear functions using graphs and tables. We will use an example to illustrate this process.

### 11. What is a Parabola?

A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.

### 12. What is a Cubic Equation? - Definition & Examples

In algebra, you come across various kinds of functions. You start learning about linear functions, and then quadratic functions. Now, though, you come across cubic functions. What are they? Watch this video lesson to find out.

### 13. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

### 14. 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!

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### Other Chapters

Other chapters within the Glencoe Pre-Algebra: Online Textbook Help course

- Glencoe Pre-Algebra Chapter 1: The Tools of Algebra
- Glencoe Pre-Algebra Chapter 2: Operations with Integers
- Glencoe Pre-Algebra Chapter 3: Operations with Rational Numbers
- Glencoe Pre-Algebra Chapter 4: Expressions and Equations
- Glencoe Pre-Algebra Chapter 5: Multi-Step Equations and Inequalities
- Glencoe Pre-Algebra Chapter 6: Ratio, Proportion and Similar Figures
- Glencoe Pre-Algebra Chapter 7: Percent
- Glencoe Pre-Algebra Chapter 8: Linear Functions and Graphing
- Glencoe Pre-Algebra Chapter 10: Real Numbers and Right Triangles
- Glencoe Pre-Algebra Chapter 11: Distance and Angle
- Glencoe Pre-Algebra Chapter 12: Surface Area and Volume
- Glencoe Pre-Algebra Chapter 13: Statistics and Probability
- Glencoe Pre-Algebra Chapter 14: Looking Ahead to Algebra I