# Ch 10: AEPA Math: Exponents & Exponential Expressions

### About This Chapter

## AEPA Math: Exponents & Exponential Expressions - Chapter Summary

Exponents and exponential expressions can trip up anyone, even if you're a seasoned teacher almost ready to instruct at the secondary level. Don't lose points on the AEPA Math exam due to overconfidence about the more basic subjects of math. This chapter will prepare you for any test questions asking about:

- The order to use in solving exponential expressions
- The five main exponent properties
- How to apply exponent properties to solving problems
- The difference between using zero, positive numbers and negative numbers as exponents
- Simplifying exponential expressions
- How to simplify expressions that have rational exponents

The video lessons in this chapter are brief and engaging so you can quickly and effectively check off exponents from your list of review topics. Short, multiple-choice quizzes following each lesson will help you gauge your preparedness.

### 1. 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.

### 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. 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.

### 4. 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.

### 5. 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.

### 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!

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### Other Chapters

Other chapters within the AEPA Mathematics (NT304): Practice & Study Guide course

- AEPA Math: Properties of Real Numbers
- AEPA Math: Fractions
- AEPA Math: Decimals & Percents
- AEPA Math: Ratios & Proportions
- AEPA Math: Units of Measure & Conversions
- AEPA Math: Logic
- AEPA Math: Reasoning
- AEPA Math: Vector Operations
- AEPA Math: Matrix Operations & Determinants
- AEPA Math: Algebraic Expressions
- AEPA Math: Linear Equations
- AEPA Math: Inequalities
- AEPA Math: Absolute Value
- AEPA Math: Quadratic Equations
- AEPA Math: Polynomials
- AEPA Math: Rational Expressions
- AEPA Math: Radical Expressions
- AEPA Math: Systems of Equations
- AEPA Math: Complex Numbers
- AEPA Math: Functions
- AEPA Math: Piecewise Functions
- AEPA Math: Exponential & Logarithmic Functions
- AEPA Math: Continuity of Functions
- AEPA Math: Limits
- AEPA Math: Rate of Change
- AEPA Math: Derivative Rules
- AEPA Math: Graphing Derivatives
- AEPA Math: Applications of Derivatives
- AEPA Math: Area Under the Curve & Integrals
- AEPA Math: Integration Techniques
- AEPA Math: Applications of Integration
- AEPA Math: Foundations of Geometry
- AEPA Math: Geometric Figures
- AEPA Math: Properties of Triangles
- AEPA Math: Triangle Theorems & Proofs
- AEPA Math: Parallel Lines & Polygons
- AEPA Math: Quadrilaterals
- AEPA Math: Circles & Arc of a Circle
- AEPA Math: Conic Sections
- AEPA Math: Geometric Solids
- AEPA Math: Analytical Geometry
- AEPA Math: Using Trigonometric Functions
- AEPA Math: Trigonometric Graphs
- AEPA Math: Solving Trigonometric Equations
- AEPA Math: Trigonometric Identities
- AEPA Math: Sequences & Series
- AEPA Math: Graph Theory
- AEPA Math: Set Theory
- AEPA Math: Statistics Overview
- AEPA Math: Summarizing Data
- AEPA Math: Tables, Plots & Graphs
- AEPA Math: Probability
- AEPA Math: Discrete Probability Distributions
- AEPA Math: Continuous Probability Distributions
- AEPA Math: Sampling
- AEPA Math: Regression & Correlation
- AEPA Mathematics Flashcards