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

About This Chapter

Watch our video lessons to review exponents and exponential expressions. These lessons and their corresponding quizzes can help you prepare to take the NMTA Middle Grades Mathematics test for licensure in New Mexico.

NMTA Middle Grades Math: Exponents & Exponential Expressions - Chapter Summary

Let our experienced instructors refresh your knowledge of exponents and exponential expressions. In this chapter, lessons cover topics such as:

  • Identifying the five main exponent properties
  • Defining a zero and negative exponent
  • Evaluating exponents with fractional bases, fractions raised to a power and decimal bases
  • Simplifying expressions with exponents
  • Using exponential notation
  • Examining the order of operations
  • Multiplying and dividing exponential expressions
  • Writing powers of fractions and decimals

These video lessons offer a convenient and effective way to prepare for your test. Each lesson is less than 10 minutes long and may be watched on your mobile device. Use lesson quizzes to assess how well you've mastered the information presented by the instructors.

NMTA Middle Grades Math: Exponents & Exponential Expressions Chapter Objectives

The state of New Mexico requires the NES Middle Grades Mathematics content knowledge test for educators seeking their initial license to teach math to 5th through 9th graders. The test consists of 150 multiple-choice questions provided in a computer-based format.

The test is organized into four content domains, including algebra and functions. Questions on algebra and functions account for 33% of test questions. Use the lessons, quizzes and chapter exam in this chapter to help you prepare to answer exponents and exponential expression questions on the test.

14 Lessons in Chapter 7: NMTA 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.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

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

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