# Ch 6: High School Algebra: Properties of Exponents

### About This Chapter

## Properties of Exponents - Chapter Summary and Learning Objectives

This chapter starts by teaching you to identify and explain the main exponent properties. The five main exponent properties are the product of powers, power to a power, quotient of powers, power of a product and power of a quotient. These properties are considered the exponent order of operations.

Our instructors reveal to you the definitions of various types of exponents and why we use them. We also offer you lessons that provide practice problems to help you apply learned concepts. Supplementary quizzes are offered to test your comprehension of the properties of exponents. By the time you complete our video lessons, you should know how to:

- Define zero and negative exponents
- Explain what rational exponents are and how they are used
- Simplify mathematic expressions by applying exponent properties
- Use rational exponents to simplify mathematical expressions

Video | Objective |
---|---|

What are the Five Main Exponent Properties? | Learn about the five main exponent properties and why we use them. |

How to Define a Zero and Negative Exponent | Learn how to define a zero and negative exponent. |

How to Simplify Expressions with Exponents | Get practice applying the exponent properties. |

Rational Exponents | Define rational exponents and why we use them. |

Simplifying Expressions with Rational Exponents | Get practice applying the exponent properties with rational exponents. |

### 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 Algebra I: High School course

- High School Algebra: Solving Math Word Problems
- High School Algebra: Percent Notation
- High School Algebra: Calculations, Ratios, Percent & Proportions
- High School Algebra: Real Numbers
- High School Algebra: Exponents and Exponential Expressions
- High School Algebra: Radical Expressions
- High School Algebra: Algebraic Expressions and Equations
- High School Algebra: Algebraic Distribution
- High School Algebra: Properties of Functions
- High School Algebra: Working With Inequalities
- High School Algebra: Linear Equations
- High School Algebra: Factoring
- High School Algebra: Quadratic Equations
- High School Algebra: Graphing and Factoring Quadratic Equations
- High School Algebra: Properties of Polynomial Functions
- High School Algebra: Rational Expressions
- High School Algebra: Matrices and Absolute Value
- High School Algebra: Data, Statistics, and Probability