# Ch 7: AEPA Middle Grades Math: Exponents & Exponential Expressions

### About This Chapter

## NES Middle Grades Math: Exponents & Exponential Expressions - Chapter Summary

Prepare for questions on exponents and exponential expressions on the NES Middle Grades Math exam by watching the lessons in this chapter. You'll learn about various types of exponents and how to perform operations with exponential expressions. The lessons should show you how to:

- Name the five main exponent properties
- Define a zero and negative exponent
- Evaluate exponents with decimal or fractional bases
- Simplify expressions with exponents
- Use exponential notation
- Solve exponential expressions
- Multiply and divide exponential expressions
- Write powers of fractions and decimals

These video lessons, led by expert instructors, explain ways to work with exponents as you prepare for the exam. Written transcripts are provided as well. Video tags let you easily find parts of the lesson you want to re-watch.

### 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. Exponents with Fractional Bases

Watch this video lesson to learn how you can evaluate fractions that have exponents attached to them. Learn how the numerator and denominator behave with exponents.

### 4. Exponents with Decimal Bases

After watching this video lesson, you will be able to evaluate any exponents with decimal bases. Learn what the exponent does to the decimal and how to get your answer.

### 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. 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.

### 9. 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.

### 10. 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.

### 11. 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.

### 12. 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.

### 13. 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.

### 14. 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.

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### Other Chapters

Other chapters within the AEPA Middle Grades Mathematics (NT203): Practice & Study Guide course

- AEPA Middle Grades Math: Basic Arithmetic Operations
- AEPA Middle Grades Math: Solving Word Problems
- AEPA Middle Grades Math: Properties of Numbers
- AEPA Middle Grades Math: Estimating & Rounding
- AEPA Middle Grades Math: Number Theory
- AEPA Middle Grades Math: Roots & Radical Expressions
- AEPA Middle Grades Math: Scientific Notation
- AEPA Middle Grades Math: Simplifying Expressions
- AEPA Middle Grades Math: Integers
- AEPA Middle Grades Math: Rational Numbers
- AEPA Middle Grades Math: Introduction to Fractions
- AEPA Middle Grades Math: Operations with Fractions
- AEPA Middle Grades Math: Introduction to Decimals
- AEPA Middle Grades Math: Operations with Decimals
- AEPA Middle Grades Math: Percents
- AEPA Middle Grades Math: Money & Consumer Math
- AEPA Middle Grades Math: Number Patterns & Sequences
- AEPA Middle Grades Math: Properties of Functions
- AEPA Middle Grades Math: Graphing Functions
- AEPA Middle Grades Math: Negative Numbers
- AEPA Middle Grades Math: Absolute Value
- AEPA Middle Grades Math: Inequalities
- AEPA Middle Grades Math: Factoring
- AEPA Middle Grades Math: Monomials & Polynomials
- AEPA Middle Grades Math: Writing Algebraic Expressions
- AEPA Middle Grades Math: Basic Algebraic Expressions
- AEPA Middle Grades Math: Algebraic Distribution
- AEPA Middle Grades Math: One-Step Equations
- AEPA Middle Grades Math: Two-Step Equations
- AEPA Middle Grades Math: Rational Expressions
- AEPA Middle Grades Math: The Coordinate Graph
- AEPA Middle Grades Math: Linear Equations
- AEPA Middle Grades Math: Systems of Linear Equations
- AEPA Middle Grades Math: Rates, Ratios & Proportions
- AEPA Middle Grades Math: Measurement
- AEPA Middle Grades Math: Perimeter & Area
- AEPA Middle Grades Math: Polyhedrons & Geometric Solids
- AEPA Middle Grades Math: Symmetry, Similarity & Congruence
- AEPA Middle Grades Math: Properties of Lines
- AEPA Middle Grades Math: Triangles
- AEPA Middle Grades Math: Triangle Theorems & Proofs
- AEPA Middle Grades Math: Similar Polygons
- AEPA Middle Grades Math: The Pythagorean Theorem
- AEPA Middle Grades Math: Quadrilaterals
- AEPA Middle Grades Math: Circles
- AEPA Middle Grades Math: Circular Arcs & Measurement
- AEPA Middle Grades Math: Transformations
- AEPA Middle Grades Math: Data & Graphs
- AEPA Middle Grades Math: Statistics
- AEPA Middle Grades Math: Data Collection
- AEPA Middle Grades Math: Samples & Populations
- AEPA Middle Grades Math: Probability
- AEPA Middle Grades Math: Sets
- AEPA Middle Grades Mathematics Flashcards