# Ch 10: Saxon Algebra 2: Exponents

### About This Chapter

## How It Works:

- Identify the lessons in the Saxon Algebra 2 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:

- Exponential expressions
- Product theorem of exponents
- Negative exponents
- Equations with exponents
- Variables as exponents
- Exponential growth and decay
- Fractional powers
- Power theorem for exponents
- How to factor expressions with exponents
- Simplification of exponential expressions

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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. 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.

### 9. 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!

### 10. Working With Fractional Powers

If you know what to do with 3 to the second power, then you understand exponents. But what if the exponent is a fraction? Find out what to do with fractional powers in this lesson.

### 11. Simplifying a Sum Raised to a Power

In this lesson, we will learn how to simplify a sum raised to a power. We will look at a couple of examples of this process, and we will also look at a common error when it comes to this process, so we can avoid it when working with this concept.

### 12. Factoring Expressions With Exponents

This lesson offers a detailed tutorial on how to factor polynomial expressions with exponents. The greatest common factor is used to factor these expressions.

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### Other Chapters

Other chapters within the Saxon Algebra 2 Homeschool: Online Textbook Help course

- Saxon Algebra 2: Decimal Numbers
- Saxon Algebra 2: Graphs on the Coordinate Plane
- Saxon Algebra 2: Sets
- Saxon Algebra 2: Real Numbers
- Saxon Algebra 2: Complex Numbers
- Saxon Algebra 2: Conversion by Unit Multipliers
- Saxon Algebra 2: Ratio & Proportion
- Saxon Algebra 2: Percent
- Saxon Algebra 2: Rate
- Saxon Algebra 2: Exponents on a Scientific Calculator
- Saxon Algebra 2: Roots
- Saxon Algebra 2: Probability
- Saxon Algebra 2: Statistics
- Saxon Algebra 2: Simplifying Expressions
- Saxon Algebra 2: Polynomials
- Saxon Algebra 2: Simplifying Rational Expressions
- Saxon Algebra 2: Simplifying and Solving Equations
- Saxon Algebra 2: Linear Equations
- Saxon Algebra 2: Solving Linear Equations
- Saxon Algebra 2: Quadratic Equations
- Saxon Algebra 2: Other Types of Equations
- Saxon Algebra 2: Understanding Functions
- Saxon Algebra 2: Manipulating and Evaluating Functions
- Saxon Algebra 2: Trigonometry
- Saxon Algebra 2: Logarithms
- Saxon Algebra 2: Lines, Points, Segments, and Planes
- Saxon Algebra 2: Angles
- Saxon Algebra 2: Polygons
- Saxon Algebra 2: Circles
- Saxon Algebra 2: Triangles
- Saxon Algebra 2: Geometric Solids
- Saxon Algebra 2: Perimeter and Circumference
- Saxon Algebra 2: Area
- Saxon Algebra 2: Surface Area and Volume
- Saxon Algebra 2: Constructions
- Saxon Algebra 2: Postulates & Pythagorean Theorem
- Saxon Algebra 2: Proofs