# Ch 6: Properties of Exponents

### About This Chapter

## Properties of Exponents - Chapter Summary and Learning Objectives

In your mind, does an exponent mean more work? If so, then you need our lessons that cover the properties of exponents. After watching our lessons, you'll see that these little numbers can be easy to work with once you develop your math skills.

There are five main exponent properties. These properties can be compared to the basic number properties, like associative and comparative properties. While not exactly the same, they are quite similar in theory. You'll see it all explained in our lessons, which include some problems to solve, so you can be sure you really do understand these properties.

Now, working with exponents may have been made a bit easier by learning the exponent properties, but what happens when the exponents you are working with are negative? How about when the exponent is zero? This could get quite confusing. How are such situations handled? Don't get too worked up about it. We have lessons that cover both of these topics.

Maybe the exponent properties, zero exponents and negative exponents weren't giving you a hard time. But is there more that you need to know? What would you say if I told you there's one more concept that we tackle in our lessons, and this one is a doozy? Well, hold onto your hat, my friend. There *is* one more topic we have to cover, and it is rational exponents. What are rational exponents, you say? Sit back and get ready to learn as our lessons explain about what to do when your exponent is a fraction. Don't freak out because you get to practice what you learn, so you know that you understand rational exponents. There's so much to learn about exponents, so don't wait any longer! Start watching now!

### 1. What Are the Five Main Exponent Properties?

We'll look at the five important exponent properties and an example of each. You can think of them as the order of operations for exponents. Learn how to handle math problems with exponents here!

### 2. How to Define a Zero and Negative Exponent

The zero and negative exponent properties are two you will use quite a lot in mathematics. The negative exponent property can be confusing, but when you remember a couple fun ideas, you will get it right every time!

### 3. 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!

### 4. Rational Exponents

In this video, learn how to go from a rational exponent to a radical expression and back. No tricks or magic, just good math! We'll review the basics and look at a few examples.

### 5. Simplifying Expressions with Rational Exponents

Simplifying expressions with rational exponents is so easy. In fact, you already know how to do it! We simply use the exponent properties but with fractions as the exponent!

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### Other Chapters

Other chapters within the Math 102: College Mathematics course

- Math Foundations
- Linear Equations
- Solving and Graphing Inequalities
- Graphing and Factoring Quadratic Equations
- Complex and Imaginary Numbers
- Properties of Polynomials
- Simplifying and Solving Rational Expressions
- Properties of Functions
- Logarithms and Exponential Equations
- Logic
- Sets
- Probability and Statistics
- Geometry
- Studying for Math 102