# Ch 2: Exponents & Operations

### About This Chapter

## Exponents & Operations - Chapter Summary

Get the knowledge you need about exponents and operations by reviewing video lessons developed by expert instructors. Each lesson explores a unique topic to ensure you have a good grasp of the definitions and mathematical operations associated with exponents, square roots and scientific notation. Review the lessons at your leisure. In no time, you will be ready to:

- Go from rational exponents to radical expressions and back
- Identify the five main exponent properties
- Simplify expressions with exponents
- Add, subtract and multiply with exponents
- Divide exponential expressions
- Define zero and negative exponents
- Find the square root of a number, and estimate square roots
- Compare numbers written in scientific notation, and define its meaning

Watch the video lessons or access their full transcripts from your computer or mobile devices to get a quality understanding of exponents and operations. Lessons are accessible anytime, day or night, and can be revisited as many times as you'd like. Take the quiz with each lesson to test your knowledge of concepts covered. To get a more comprehensive review of the lessons, take the broader chapter exam.

### 1. 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.

### 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. 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. Adding & Subtracting with Exponents

Adding and subtracting with exponents can be quite easy once you know a few simple rules. In this lesson, you will learn about these rules and how to apply them any time you need to add or subtract with exponents.

### 5. Multiplying With Exponents

Watch this video lesson to learn how you can use exponents to help you multiply numbers together. Learn what kinds of numbers you can multiply together with exponents and how to write them.

### 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. Zero Exponent: Rule, Definition & Examples

The zero exponent rule states that any term with an exponent of zero is equal to one. This lesson will go into the rule in more detail, explaining how it works and giving some examples. There will also be a quiz to test your knowledge.

### 8. Negative Exponent: Definition & Rules

Negative exponents have caused problems for math students as long as they have been defined. This lesson will shed some light on the negative exponent: what it means and how to work with it in a math problem.

### 9. How to Find the Square Root of a Number

What is a square root? In this lesson, we'll learn what a square root is and how to find it. We'll review a variety of examples in order to master the concept.

### 10. Estimating Square Roots

Inverse operations are mathematical operations that undo each other. The square root is the inverse of the squared (or multiplying a number by itself) operation. There is an easy method for estimating the square root of a number, which you will learn in this lesson.

### 11. 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.

### 12. Comparing Numbers Written in Scientific Notation

After watching this video lesson, you will be able to compare numbers written in scientific notation with each other. You will learn how to tell which is larger and which is smaller.

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### Other Chapters

Other chapters within the Pennsylvania Grades 4-8 - Math Subject Concentration (5158): Practice & Study Guide course

- Real & Rational Numbers
- Properties of Operations
- Fractions, Decimals & Percents
- Ratios, Rates & Proportional Relationships
- Number Theory & Estimation
- Radical & Exponential Expressions
- Linear Equations & Inequalities
- Nonlinear Equations & Inequalities
- Systems of Equations
- Sequences & Patterns in Math
- Understanding & Comparing Functions
- Function Graphs & Models
- Perimeter, Area & Volume Overview
- Properties of Angles & Lines
- Properties of Shapes Overview
- Geometric Relationships & Transformations
- Systems of Measurement & Conversion
- Geometric Construction
- Data Interpretation in Math
- Dispersion & Probability Models
- Logical Reasoning & Visual Representations of Data
- Pennsylvania Grades 4-8 - Math Subject Concentration (5158) Flashcards