# Ch 10: ASVAB Math: Exponents

### About This Chapter

## ASVAB Math: Exponents - Chapter Summary

Understanding how to use exponents is critical when dealing with complex math problems. When taking the Armed Services Vocational Aptitude Battery (ASVAB) exam, you will be expected to know the ins and outs of exponential expressions, including how to convert them into other forms. Use our helpful video study guide to walk you through the world of exponents, from simplifying single exponential expressions to solving equations with multiple ones. These lessons cover:

- Exponents and exponential expressions
- Scientific notation
- Order of operations
- The power of zero
- Negative exponents

Our expert instructors have organized these lessons in a way that makes learning exponents simple and enjoyable. Follow along with the video lessons to understand the basic definitions and principles of exponential expressions and how to use them. When you think you've got everything down, check your know-how with our useful self-assessments.

## ASVAB Math: Exponents Chapter Objectives

The Math Knowledge subtest of the Armed Services Vocational Aptitude Battery (ASVAB) is used to determine fluency of basic mathematical practices. This test is taken throughout the year by those hoping to join the U.S. military, including many high school-level candidates. On the pencil and paper version of the test, there are 25 multiple-choice questions in this subtest that must be completed within 24 minutes. Those numbers vary somewhat on the computerized version, but the questions in this subtest account for just over 11% of the exam in both. Objectives for this chapter include:

- Understanding the purpose of exponential expressions
- Simplifying expressions using the power of zero and other methods
- How to multiply and divide expressions
- Defining and using scientific notation

Many questions on the Math Knowledge subtest of the ASVAB will present you with a mathematical equation that you will need to solve using your knowledge of exponents. Dive into our video lessons so you won't have any problem tackling exponential expressions on the test!

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 10. Square Root: Sign, Rules & Problems

In this lesson, you will learn how to recognize square root notation. You will also learn properties of square roots and discover how to simplify expressions that include square roots.

### 11. What is a Logarithm?

Logarithms can help you solve exponential functions. In this lesson, you will learn about how to work with and recognize logarithms, and how to use logarithm notation with an example problem about earthquakes!

### 12. How to Evaluate Logarithms

Using this lesson, you can get practice evaluating logarithms, as well as learn some of the shortcuts behind writing and estimating them. You can also learn how to use your calculator to evaluate logarithms, and learn about a concept called the change of base theory.

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### Other Chapters

Other chapters within the ASVAB Mathematics Knowledge: Study Guide & Test Prep course

- ASVAB Math: Basic Arithmetic
- ASVAB Math: Math Expressions and Formulas
- ASVAB Math: Solving Math Word Problems
- ASVAB Math: Rounding Numbers and Decimals
- ASVAB Math: Fractions
- ASVAB Math: Factorials in Math
- ASVAB Math: Reciprocals
- ASVAB Math: Types of Numbers
- ASVAB Math: Patterns & Sequences
- ASVAB Math: Properties of Exponents
- ASVAB Math: Algebraic Expressions and Equations
- ASVAB Math: Factoring
- ASVAB Math: Quadratic Equations
- ASVAB Math: Working with Quadratic Equations
- ASVAB Math: Inequalities
- ASVAB Math: Calculating Interest
- ASVAB Math: Circles
- ASVAB Math: Geometry
- About the ASVAB Test
- ASVAB Mathematics Knowledge Flashcards