# Ch 28: THEA Test: Exponents

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### About This Chapter

## THEA Test: Exponents - Chapter Summary

This chapter offers a wide variety of resources that can ease the process of preparing for the THEA test. You can start by reviewing video lessons that explore exponents so you're prepared to answer questions that address:

- Identifying the properties and rules of exponents
- Discussing the five main exponent properties and how to use exponential notation
- Defining a zero and negative exponent and simplifying expressions with exponents
- Analyzing rational exponents and simplifying expressions with rational exponents
- Exponential expressions and the process of simplifying and solving them
- Examining the quotient of powers, the order of operations, the product of powers and the power of zero
- Understanding how to work with fractional powers and define the negative exponent

Instructors presenting the lessons are subject-matter experts with a wealth of knowledge to share about exponents. Take advantage of quality instruction you can access from the comfort of your home, or on the go via your mobile device.

### THEA Test: Exponents Objectives

In Texas, students interested in entering public colleges and universities might be required to take the THEA test to show their ability to perform as freshmen. The test gauges students' comprehension of math, writing and reading by breaking the test into three sections that are scored separately. The lessons in this chapter are covered in the math section, which consists of 50 multiple-choice questions and requires a minimum score of 230 to pass.

You can prepare for this section of the test by watching the video lessons in this chapter, accessing full transcripts with helpful vocabulary words and taking self-assessment quizzes. After completing the quizzes, if you find that you've answered any question incorrectly, simply click the link next to the incorrect answer to revisit the related portion of the video lesson.

### 1. What Are Exponents? - Definition, Properties & Rules

Exponents are the mathematical shorthand that tells us to multiply the same number by itself for a specified number of times. This lesson will not only explain how the exponent works but also discuss the seven distinct properties, or rules, that govern its use.

### 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!

### 3. 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.

### 4. 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!

### 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!

### 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.

### 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!

### 8. 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.

### 9. 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.

### 10. Quotient Of Powers: Property & Examples

The quotient of powers rule states that when dividing two powers with the same base, just subtract the exponents. Don't worry if that doesn't make sense off the bat; this lesson will clear everything up, give some examples, and provide a quiz for you to test your knowledge.

### 11. Product Of Powers: Definition, Rule & Property

The product of powers rule states that when multiplying two powers with the same base, just add the exponents. Confused yet? This lesson will clear everything up, give some examples and provide a quiz for you to test your knowledge.

### 12. 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.

### 13. Working With Fractional Powers

If you know what to do with 3 to the second power, then you understand exponents. But what if the exponent is a fraction? Find out what to do with fractional powers in this lesson.

### 14. Negative Exponent: Definition & Rules

Negative exponents have caused problems for math students as long as they have been defined. This lesson will shed some light on the negative exponent: what it means and how to work with it in a math problem.

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### Other Chapters

Other chapters within the THEA Test: Practice & Study Guide course

- THEA Test: Understanding Words & Phrases
- THEA Test: Analyzing Literature
- THEA Test: Reading Comprehension & Interpretation
- THEA Test: Point of View & Meaning in Literature
- THEA Test: Drawing Conclusions from Ideas in Text
- THEA Test: Using Critical Thinking to Evaluate Writing
- THEA Test: Understanding Reading Assignments
- THEA Test: Writing Style
- THEA Test: Writing Organization
- THEA Test: Writing Grammar & Mechanics
- THEA Test: Using Verbs
- THEA Test: Using Modifiers
- THEA Test: Using Nouns & Pronouns
- THEA Test: Proofreading & Editing Your Writing
- THEA Test: Fundamental Arithmetic
- THEA Test: Simplifying Whole Number Expressions
- THEA Test: Negative Numbers
- THEA Test: Absolute Value
- THEA Test: Properties of Basic Math
- THEA Test: Solving Word Problems
- THEA Test: Fractions
- THEA Test: Decimals & Percentages
- THEA Test: Ratios & Proportions
- THEA Test: Units of Measurement
- THEA Test: Scientific Notation
- THEA Test: Radicals & Square Roots
- THEA Test: Radical Expressions
- THEA Test: Calculating & Plotting Data
- THEA Test: Solving Rational Equations
- THEA Test: Graphing Linear Equations
- THEA Test: Principles of Algebra
- THEA Test: Algebraic Expressions & Equations
- THEA Test: Word Problems in Algebra
- THEA Test: Properties of Functions
- THEA Test: Quadratic Equations
- THEA Test: Two-Variable Equations & Systems of Equations
- THEA Test: Properties of Polynomial Functions
- THEA Test: Properties & Theorems of Geometry
- THEA Test: Principles of Geometry
- THEA Test: Area, Perimeter & Volume in Geometry
- THEA Test: Problem Solving in Math