# Ch 12: Saxon Algebra 1: Exponents

### About This Chapter

## How It Works:

- Identify the lessons in the Saxon Exponents chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the exponents 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:

- The order of operations
- Simplifying expressions with exponents and powers of fractions
- Product theorem for exponents
- Exponents and negative bases
- Negative exponents
- Solving equations with exponents
- The zero exponent rule
- Variables as exponents
- The quotient rule and power theorem
- Exponential growth and decay

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### 1. 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.

### 2. 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!

### 3. Simplifying Powers of Fractions

This lesson will go over what powers of fractions are and some basic vocabulary. We will then see two different ways of simplifying powers of fractions and look at some examples showing each method.

### 4. Product Theorem for Exponents: Definition & Examples

In this lesson, we will go over the basics of the Product Theorem for Exponents, explaining how to multiply terms with exponents in them. We will discuss different examples and how to solve them.

### 5. Exponents with Negative Bases

Watch this video lesson to learn how you can use exponents to help you multiply a string of negative numbers. Learn what kinds of negative numbers you can do this with and to write it.

### 6. 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.

### 7. Solving Equations With Exponents

Many equations have exponents. To solve these equations, you need to know how to deal with these exponents so that you can determine the value of the variable.

### 8. Zero Exponent: Rule, Definition & Examples

The zero exponent rule states that any term with an exponent of zero is equal to one. This lesson will go into the rule in more detail, explaining how it works and giving some examples. There will also be a quiz to test your knowledge.

### 9. Variables As Exponents: Practice Problems

We see variables as exponents in a variety of problems in algebra. To better our understanding of this, we will look at some simple expressions and equations which contain variables as exponents. We will view these functions as equations algebraically, and as lines graphically.

### 10. The Quotient Rule for Exponents

This lesson will go over a very important rule in the exponent world called the quotient rule. We will discuss how we can use this rule to divide exponents, and go over examples of using this rule in different scenarios.

### 11. How to Use the y^x Calculator Key

Sometimes, there's just an easier and faster way of doing things in math. And thanks to the y^x button on your calculator you can save yourself lots of time when solving certain problems. This lesson will explore how.

### 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!

### 13. Power of a Power in Math: Definition & Rule

Learn ways to understand how exponent rules work when a number, variable, or algebraic expression that already has a power is raised to another power. Then test yourself with a quiz.

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### Other Chapters

Other chapters within the Saxon Algebra 1 Homeschool: Online Textbook Help course

- Saxon Algebra 1: Operations With Whole Numbers
- Saxon Algebra 1: Fractions
- Saxon Algebra 1: Decimal Numbers
- Saxon Algebra 1: Graphs on the Coordinate Plane
- Saxon Algebra 1: Sets
- Saxon Algebra 1: Real Numbers
- Saxon Algebra 1: Number Theory
- Saxon Algebra 1: Properties of Real Numbers
- Saxon Algebra 1: Conversion by Unit Multipliers
- Saxon Algebra 1: Ratio, Rate & Proportion
- Saxon Algebra 1: Percent
- Saxon Algebra 1: Roots
- Saxon Algebra 1: Probability
- Saxon Algebra 1: Statistics
- Saxon Algebra 1: Simplifying Expressions
- Saxon Algebra 1: Polynomials
- Saxon Algebra 1: Simplifying Rational Expressions
- Saxon Algebra 1: Simplifying and Solving Equations
- Saxon Algebra 1: Linear Equations
- Saxon Algebra 1: Quadratic Equations
- Saxon Algebra 1: Other Types of Equations
- Saxon Algebra 1: Understanding Functions
- Saxon Algebra 1: Lines, Points, Segments, and Planes
- Saxon Algebra 1: Angles
- Saxon Algebra 1: Polygons
- Saxon Algebra 1: Circles
- Saxon Algebra 1: Triangles
- Saxon Algebra 1: Geometric Solids
- Saxon Algebra 1: Perimeter and Circumference
- Saxon Algebra 1: Area
- Saxon Algebra 1: Surface Area and Volume
- Saxon Algebra 1: Pythagorean Theorem