# Ch 11: ASVAB Math: Properties of Exponents

### About This Chapter

## ASVAB Math: Properties of Exponents - Chapter Summary

This chapter delves into some of the most essential properties of exponents, including the correct way to handle negative exponents and simplify mathematical expressions that have exponents. As you get ready for the ASVAB Math sub-tests, watch the brief video lessons in this chapter to hone your knowledge in the following areas:

- The five main exponent properties, including power to a power
- Defining zero and negative exponents
- Converting fractional exponents
- How to simplify expressions that include rational exponents
- Multiple ways to simplify exponents using the main exponent properties

You'll watch a series of short video lessons taught by our expert math instructors. These lessons include detailed descriptions and illustrations that show exactly how to use the properties of exponents when solving exponent-related problems. Each lesson concludes with a short quiz, allowing you to assess your skills before moving on.

### Objectives of the ASVAB Math: Properties of Exponents Chapter

As a military recruit, there are two ASVAB Math sub-tests you'll need to take: Arithmetic Reasoning and Math Knowledge. These sub-tests measure your ability to solve math-related word problems and your knowledge of basic high school mathematics. The Study.com video lessons included in this chapter can prepare you specifically for any exponent-related problems on the ASVAB Math sub-tests.

The total number of math questions you'll need to answer for both sub-tests hinges on whether you take the computer-adaptive or paper-and-pencil version of the ASVAB. The majority of recruits take the computer-adaptive test. The traditional paper-and-pencil format takes slightly longer and includes more math questions than the computer-based format - 55 questions in 60 minutes. Because the computer-adaptive format regularly adjusts to your skill level during the test, you're only given 32 math-related questions that need to be answered in 59 minutes.

Keep in mind that you won't be penalized for guessing if you take the paper-and-pencil test, and you can return to questions you've skipped in that same section if there's time. On the computer-adaptive exam, guessing an incorrect answer leads to a penalty.

### 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!

### 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!

### 3. 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!

### 4. 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.

### 5. 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!

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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: 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