About This Chapter
Exponent Properties & Exponential Expressions - Chapter Summary
High school students need to read and understand a great deal of information both before they graduate and as they move on in college or the professional world. This chapter provides students with focused training on developing their understanding of exponent properties and exponential expressions.
Instead of an endless chapter of information, the chapter has been divided into short, individualized lessons. Students have the option to review all of the lessons in order, but they can also pick and choose lesson topics in which they need the most assistance. The chapter menu provides a list of all lessons available, and since each lesson is only focused on a single topic, students can easily find what they need. After completing this chapter, students will be ready to:
- Define and understand the five main exponent properties
- Define zero and negative exponents
- Simplify and solve exponential expressions
- Understand how the order of operations and exponential expressions relate
- Multiply and divide exponential expressions
- Simplify exponential expressions involving zero powers
- Use negative exponents to write powers of fractions and decimals
- Simplify exponential expressions involving powers raised to powers
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. Simplifying and Solving Exponential Expressions
What do we do with an exponent? In this lesson, we'll learn how to simplify and solve expressions containing exponents. We'll solve a variety of types of exponential expressions.
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. Multiplying Exponential Expressions
There are certain rules that govern working with exponential expressions. This lesson deals with the rule for multiplying exponential expressions. It will describe the rule and give some examples of how it works.
6. Dividing Exponential Expressions
Any time you work with expressions that contain exponents, you have to follow a specific set of rules that are not the same as when you are working with expressions that do not contain exponents. This lesson will describe the rules associated with dividing terms that contain exponents.
7. The Power of Zero: Simplifying Exponential Expressions
Raising a number to the power of zero is not the same as if the exponent is a number other than zero. This lesson will explain the rule involving using zero as an exponent and will give some examples of how it works.
8. 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.
9. Power of Powers: Simplifying Exponential Expressions
Mathematics is a very logical science. There is a rule for everything and not many exceptions to those rules. Working with exponents is no different. This lesson will describe the rule for raising a power to a power and also will give some examples in how to solve them.
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Other chapters within the High School Algebra I: Homeschool Curriculum course
- High School Algebra: Overview of Real Numbers
- High School Algebra: Solving Math Word Problems
- High School Algebra: Percent Notation
- High School Algebra: Calculations, Ratios & Proportions Review
- High School Algebra: Combinations & Permutations
- High School Algebra: Properties of Exponents Review
- High School Algebra: Square Roots Review
- High School Algebra: Radical Expressions Overview
- High School Algebra: Algebraic Expressions Review
- High School Algebra: Solving Algebraic Equations
- High School Algebra: Algebraic Distribution
- High School Algebra: Properties of Functions
- High School Algebra: Inequalities Review
- High School Algebra: Linear Equations Review
- High School Algebra: Linear Equations Applications & Examples
- 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 & Chance
- Algebra I: Homeschool Assignments & Projects
- Homeschool Resources for High School Algebra