# Ch 12: Overview of Exponents

### About This Chapter

## 2014 GED Mathematical Reasoning Exam: Overview of Exponents - Chapter Summary

Learn how to work with zero, negative and rational exponents through this online overview of exponents. The chapter goes over important exponent properties and expressions, so you'll be ready to take the 2014 GED Mathematical Reasoning exam. The lessons cover topics that include:

- Main exponent properties
- Zero and negative exponents
- Rational exponents
- Simplifying expressions with exponents

This chapter on exponents includes important mathematical definitions and illustrations, along with practical opportunities. For example, each lesson features a quiz with example problems to help you test your learning. Lessons are composed of short and straightforward videos that cover the actual content you may find on the 2014 GED Mathematical Reasoning exam.

### 2014 GED Mathematical Reasoning Exam Objectives

Beginning in January 2014, the updated GED exam is entirely computer based. The exam attempts to assess your comprehension and application of common high school standards in four major subject areas: mathematical reasoning, science, social studies and reasoning through language arts. On the mathematical reasoning section, 55% of the test covers algebraic problem solving, and 45% of the test consists of quantitative problem solving. The lessons in this chapter explore topics you'll encounter on the actual 2014 GED Mathematical Reasoning exam. Objectives include:

- Identifying the five main exponent properties and their importance
- Defining zero and negative exponents
- Applying the exponent properties to mathematical expressions
- Simplifying expressions using rational exponents

You'll have 90 minutes to complete the 2014 GED Mathematical Reasoning exam. The entire test is split into two parts. You must take the first part without a calculator, but you're permitted to take the second longer part with the help of a calculator. The mathematical reasoning exam includes multiple choice, fill-in-the-blank, hot spot and drag-and-drop questions.

### 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 College Algebra: Help and Review course

- Basic Arithmetic
- Overview of Real Numbers
- Foundations and Linear Equations: Help and Review
- Overview of Linear Equations
- Matrices and Absolute Value: Help and Review
- Inequalities: Help and Review
- Using FOIL, Graphing Parabolas & Solving Quadratics to Factor: Help & Review
- Properties of Polynomial Functions
- Working with Quadratic Equations
- Complex Numbers: Help and Review
- Exponents and Exponential Expressions
- Exponents and Polynomials: Help and Review
- Algebraic Expressions and Equations
- Rational Expressions: Help and Review
- Working with Rational Expressions
- Math Expressions and Formulas
- Functions: Help and Review
- Fractions
- Factoring
- Exponentials and Logarithms: Help and Review
- Probability Mechanics: Help and Review
- Calculations, Ratios & Proportions
- Percent Notation
- Data, Statistics & Probability
- Sequences and Series: Help and Review
- Basic Number Sense and Operations
- Overview of Roots & Radical Expressions
- Overview of Continuity in Mathematics
- Overview of Mathematical Limits