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

About This Chapter

The videos in this chapter get you up to speed on all things exponential as you prepare for the ORELA Middle Grades Mathematics exam. Get valuable test-taking practice with the self-assessments included here.

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

Watching the entertaining videos in this chapter will help you refresh your memory of exponents in several forms as well as various types of expressions. As you follow along with our experienced instructors you will review key topics evaluated by the ORELA Middle Grades Mathematics exam. Topics covered in this chapter include:

  • The five main exponent properties
  • Defining zero and negative exponents
  • Exponents with fractional and decimal bases
  • Simplifying and solving expressions with exponents and rational exponents
  • Using exponential notation
  • The order of operations with exponential expressions
  • Multiplying and dividing exponential expressions
  • Understanding negative exponents and the power of zero
  • Writing powers of fractions

The informative videos are accompanied by a transcript of the video lesson for quick review and handy study material. Use the quizzes with each lesson to test your understanding in that subject area before or after reviewing the material to help you focus your studies. Take the chapter exam to see which areas you may need to return to for more review and to get practice answering the kinds of questions you can expect to see on test day.

ORELA Middle Grades Math: Exponents & Exponential Expressions Chapter Objectives

To pass the ORELA Middle Grades Mathematics test you will need to score 225 or higher on the scaled score system ranging from 100-300. The primary content domain where these types of questions will fall is the Number Sense and Operations domain, which is 17% of the whole and evaluates competencies 0001 and 0002. You certainly can expect to see problems involving all sorts of exponents throughout the exam, however, so this will be useful practice for the entire test. The lessons in this chapter are built to help you fly through exponential expressions during the exam.

This test is one of the available subject-matter exams as part of the Oregon educator's licensure process. You will have four hours and 15 minutes to complete the 150 multiple-choice questions, completed entirely on computer. The computer will have an on-screen calculator to help you solve more complicated problems. It will take about two weeks to receive the NES score report and the Oregon score report, but you will get your scaled score immediately after the test.

14 Lessons in Chapter 7: ORELA 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.
Not Taken

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Other Chapters

Other chapters within the ORELA Middle Grades Mathematics: Practice & Study Guide course

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