Ch 14: MTTC Math (Secondary): Exponents & Exponential Expressions

About This Chapter

Use the activities of this chapter to improve your skills simplifying exponents and solving exponential expressions as you prepare for the MTTC Mathematics (Secondary) teacher certification exam.

MTTC Math (Secondary): Exponents & Exponential Expressions - Chapter Summary

As part of a study guide course for the Michigan Test for Teacher Certification (MTTC) Mathematics (Secondary) exam, the activities of this chapter will help you improve your skills working mathematical problems with exponents. Watch the lesson videos to review the steps taken to evaluate exponents with non-whole numbers as bases, simplify exponential expressions and other mathematical operations with exponential expressions. After these lessons you should have a better understanding of:

  • The five main properties of exponents
  • Expressions with zero and negative exponents
  • Evaluating exponents with fraction or decimal bases
  • Simplifying exponential expressions
  • The order of operations
  • Multiplying and dividing exponential expressions

Practice these skills by completing the assessments that accompany the lesson videos. After completing these assessments, use your results to find out what skills you need to improve and review those procedures by returning the locations of the lesson videos that discussed them with video tags. If you have any questions about any of these topics be sure to ask our instructors for clarification so that you may effectively master the information presented.

MTTC Math (Secondary): Exponents & Exponential Expressions Objectives

The objective of the MTTC Mathematics (Secondary) exam is to measure future math teachers' mastery over the skills and knowledge needed to teach their future students. It does so by asking 80 multiple-choice questions. These questions are administered in a 4.5 hour testing session and approximately 28% of the them will ask you about topics of patterns, algebraic relationships and functions, including exponential expressions. The purpose of this chapter is to help you improve your skills working with exponential expression so that you will be able to complete these questions in a fast and accurate manner.

14 Lessons in Chapter 14: MTTC Math (Secondary): 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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the MTTC Mathematics (Secondary) (022): Practice & Study Guide course

Support