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Ch 10: GACE Math: Exponents & Exponential Expressions

About This Chapter

Brush up on your knowledge of exponents and exponential expressions. Watch our video lessons and take lesson quizzes to prepare for the GACE Mathematics assessment.

GACE Math: Exponents & Exponential Expressions - Chapter Summary

Let our instructors help you re-examine the key terms and concepts of exponents and exponential expressions. In this chapter, lesson topics include:

  • Using the order of operations and exponential expressions
  • Identifying the five main exponent properties
  • Simplifying exponential expressions with the power of zero
  • Solving expressions with negative exponents
  • Simplification of expressions with rational exponents

Our video lessons, less than 10 minutes long, offer an effective way to spend your study time. Lessons are designed to match different learning styles. Instructors use a clear and conversational manner along with fun and instructive images to explain complicated subjects. Read lesson transcripts to reinforce what instructors covered in the video.

7 Lessons in Chapter 10: GACE Math: Exponents & Exponential Expressions
Test your knowledge with a 30-question chapter practice test
Exponential Expressions & The Order of Operations

1. 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.

What Are the Five Main Exponent Properties?

2. 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!

The Power of Zero: Simplifying Exponential Expressions

3. 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

4. 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.

Simplifying and Solving Exponential Expressions

5. 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.

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!

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 GACE Mathematics (522): Practice & Study Guide course

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