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Ch 11: TExES Math 4-8: Exponents & Exponential Expressions

About This Chapter

The video lessons and quizzes that make up this chapter will help you refresh crucial knowledge on which you'll be evaluated during the TExES Math 4-8 certification exam. You must demonstrate teaching competency as well as total comprehension of exponents and exponential expressions in order to pass the test.

TExES Math 4-8: Exponents & Exponential Expressions - Chapter Summary

Get ready to take the TExES Math 4-8 certification exam. These lessons will help you review advanced applications of exponents in equations and expressions. Our videos and text transcripts will assist you with:

  • Identifying and using exponential notation and scientific notation in the appropriate context
  • Dividing and multiplying exponential expressions
  • Simplifying and solving exponential expressions using the order of operations, keeping in mind: the power of zero, negative exponents and the power of powers
  • Translating between exponents, fractions and decimals

Our instructors are qualified to guide you through each topic in order to prepare you for the test. You may jump to specific video sections using our tagging system or use the accompanying text transcripts to review the concepts you need the most help with.

Objectives of the TExES Math 4-8: Exponents & Exponential Expressions Chapter

The TExES Math 4-8 test is designed to test your comprehensive knowledge of middle school level mathematic concepts and strategies as well as your competency in teaching in order to meet Texas state standards for teacher licensing. The topics in this chapter are part of the Patterns and Algebra domain (21% of the total exam) as well as the Mathematical Processes and Perspectives domain (10% of the total exam).

Self-check assessments accompany each lesson in order to test your understanding of these crucial concepts while also allowing you to become familiarized with the types of questions you'll answer on the exam. All of the multiple-choice questions are administered via computer.

9 Lessons in Chapter 11: TExES Math 4-8: Exponents & Exponential Expressions
Test your knowledge with a 30-question chapter practice test
How to Use Exponential Notation

1. 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.

Scientific Notation: Definition and Examples

2. Scientific Notation: Definition and Examples

Scientific notation is a special way of writing numbers so they are easier to work with. This lesson will define scientific notations and show some examples of how to convert numbers from standard notation to scientific notation and back.

Simplifying and Solving Exponential Expressions

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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.

Power of Powers: Simplifying Exponential Expressions

9. Power of Powers: Simplifying Exponential Expressions

Mathematics is a very logical science. There is a rule for everything and not many exceptions to those rules. Working with exponents is no different. This lesson will describe the rule for raising a power to a power and also will give some examples in how to solve them.

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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