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Ch 5: OAE Middle Grades Math: Exponents & Exponential Expressions

About This Chapter

Prepare for OAE Middle Grades Math test questions requiring you to work with exponential expressions. Video lessons and quizzes in this chapter cover steps for performing arithmetic operations with zero, negative and rational exponents.

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

Take another look at the correct order of operations for simplifying and solving exponential expressions with this chapter's lessons. The short instructional videos included here are designed to prepare you for OAE Middle Grades Math test questions requiring a knowledge of:

  • Exponent properties
  • Zero and negative exponents
  • Exponents with fractional or decimal bases
  • Rational exponents
  • Exponential notation
  • Multiplication and division with exponential expressions

This chapter provides clear, concise instruction that you can access on your mobile device. Watch the video lessons or scan the transcripts before taking the multiple-choice quizzes that follow to see how much of the test material you're familiar with.

OAE Middle Grades Math: Exponents & Exponential Expressions Chapter Objectives

The OAE Middle Grades Math exam contains 150 multiple-choice questions. Around 17% of them are found in the Number Sense and Operations content domain, which will test your ability to work with integers, fractions and decimals.

Use the lessons in this chapter to prepare for exponent-related questions in the Number Sense and Operations section. An ability to work with exponents might also come in handy when answering questions included in additional test areas covering algebra, functions, measurement, geometry, statistics, probability and discrete mathematics. Your performance in each of these content domains will be used to determine your eligibility for a middle grades math teaching license in Ohio.

14 Lessons in Chapter 5: OAE Middle Grades Math: Exponents & Exponential Expressions
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.

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Other Chapters

Other chapters within the Ohio Assessments for Educators - Middle Grades Mathematics: Practice & Study Guide course

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