About This Chapter
Exponents & Their Properties - Chapter Summary and Learning Objectives
If you are looking for some help understanding exponents and the properties, you have come to the right place. This chapter is dedicated to help you learn or review fundamental information about exponents and how to correctly use exponent properties in equations. With a solid understanding of the information presented to you in this chapter, you can go on to study much more complex information in the intermediate algebra field. Some of the these you'll learn about in these lessons include:
- What an exponent is
- The rules for working with exponents
- What the five main exponent properties are
- Steps for solving exponential expressions and equations
|What Are Exponents? - Definition, Properties & Rules||Analyze how exponents work and their rules.|
|What Are the Five Main Exponent Properties?||Compare the five critical exponent properties.|
|Negative Exponents: Writing Powers of Fractions and Decimals||Comprehend how to write and convert fractions and decimals using exponents.|
|Exponential Expressions & The Order of Operations||Explain the importance of the order of operations.|
|How to Simplify Expressions with Exponents||Apply knowledge of exponent properties to practice problems.|
|How to Solve Exponential Equations||Solve problems that involve exponential equations.|
1. What Are Exponents? - Definition, Properties & Rules
Exponents are the mathematical shorthand that tells us to multiply the same number by itself for a specified number of times. This lesson will not only explain how the exponent works but also discuss the seven distinct properties, or rules, that govern its use.
2. 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!
3. 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.
4. 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.
5. 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!
6. How to Solve Exponential Equations
Read this lesson to learn the steps you need to take to solve exponential equations. You'll see that it's not too difficult; you just need to make use of one other mathematical operation in order to solve your problems.
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Other chapters within the Intermediate Algebra for College Students course
- Algebra Review
- Number Theory Principles
- Rational Expressions & Practice
- Linear Equations, Systems & Graphs
- Linear Inequalities
- Absolute Value Expressions & Graphs
- Complex Numbers, Forms & Graphs
- Quadratic Equations & Solutions
- Logarithmic & Trigonometric Equations
- Cartesian Coordinate System
- Linear Models
- Types of Functions
- Graphing & Transforming Functions
- Quadratic & Polynomial Functions
- Operations on Functions
- Real, Complex & Rational Zeros
- Rational Functions & Inequalities
- Pythagorean Theorem
- Probability Calculations
- Measurement & Unit Conversion