Ch 7: NES Middle Grades Math: Exponents & Exponential Expressions

About This Chapter

Develop your expertise in exponents and exponential expressions before you take the NES Middle Grades Math examination for teacher certification. Review with the help of experienced instructors and test your knowledge with the self-assessment quizzes.

NES Middle Grades Math: Exponents and Exponential Expressions - Chapter Summary

This chapter's online video lessons can serve as a handy resource as you're reviewing techniques to help you better understand and solve exponents and exponential expressions. Use your accumulated knowledge when you take the NES Middle Grades Math examination. Throughout this chapter, you'll revisit mathematical shortcuts such as exponential notation. You'll also find several examples that can assist you in memorizing the rules for solving problems with exponents. Once you've completed this chapter, you might have an expanded ability to:

  • Identify the five exponent properties
  • Define zero and negative exponent properties
  • Evaluate fractions with exponents and decimal bases
  • Explain the rules for simplifying exponents
  • Understand the basics of rational exponents
  • Simplify expressions with rational exponents and utilize exponential notation
  • Solve expressions that have exponents
  • Order exponents when performing mathematical operations
  • Multiply and divide exponential expressions
  • Understand the power of zero
  • Write fractions and decimals with exponents

These tutorial video lessons cover topics that are included on the NES Middle Grades Math teacher certification examination. The short online lessons can be studied around the clock via your mobile technology. Professionally delivered by seasoned instructors, the engaging videos are accompanied by verbatim text transcripts. You'll find related bold terms in some transcripts, and you can take the opportunity to study them further. After you've taken the quizzes that follow the video lessons, print out the results so that you'll have offline study tools.

NES Middle Grades Math: Exponents and Exponential Expressions Chapter Objectives

The NES Middle Grades Math examination consists of four content domains: Number Sense and Operations, Algebra and Functions, Measurement and Geometry and Statistics, Probability and Discrete Mathematics. These domains account for 17%, 33%, 25% and 25% of the examination score, respectively. After you've studied sufficiently, you should be able to successfully answer the assessment's 150 multiple-choice questions on exponents, exponential expressions and other mathematical topics. The computer-administered examination has a four-hour and 15-minute time limit.

14 Lessons in Chapter 7: NES Middle Grades Math: Exponents & Exponential Expressions
Test your knowledge with a 30-question chapter practice test
What Are the Five Main Exponent Properties?

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!

How to Define a Zero and Negative Exponent

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!

Exponents with Fractional Bases

3. Exponents with Fractional Bases

Watch this video lesson to learn how you can evaluate fractions that have exponents attached to them. Learn how the numerator and denominator behave with exponents.

Exponents with Decimal Bases

4. Exponents with Decimal Bases

After watching this video lesson, you will be able to evaluate any exponents with decimal bases. Learn what the exponent does to the decimal and how to get your answer.

How to Simplify Expressions with Exponents

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!

Rational Exponents

6. 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.

Simplifying Expressions with Rational Exponents

7. 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!

How to Use Exponential Notation

8. How to Use Exponential Notation

Exponential notation is a mathematical method for writing longer multiplication problems in a simplified manner. This lesson will define how to work with exponential notation and give some examples of how it is used.

Simplifying and Solving Exponential Expressions

9. 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.

Exponential Expressions & The Order of Operations

10. 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.

Multiplying Exponential Expressions

11. 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.

Dividing Exponential Expressions

12. 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.

The Power of Zero: Simplifying Exponential Expressions

13. 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.

Negative Exponents: Writing Powers of Fractions and Decimals

14. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the NES Middle Grades Mathematics (203): Practice & Study Guide course

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