# Ch 13: MTEL Middle School Math/Science: Exponents

### About This Chapter

## MTEL Middle School Math/Science: Exponents - Chapter Summary

Get ready to take the MTEL Mathematics/Science (Middle School) exam. These lessons have been assembled to help you improve your ability to work with exponents. They are taught by our expert instructors and are mobile-device friendly so that you may have an effective and versatile way to review:

- The five main properties of exponents
- Defining zero and negative exponents
- Simplifying expressions with exponents and rational exponents
- Converting between rational exponents to radical expressions
- Changing negative exponents to fraction notation
- Using scientific notation

For more versatility in your studies, read the lesson transcripts that will offer you written overviews of the lessons and highlight important terminology in bold. If you discover a topic you don't fully understand, be sure ask our instructors for assistance using the teacher tabs. When you complete a lesson, test your knowledge and find areas you could review further by taking the quizzes.

### MTEL Middle School Math/Science: Exponents Objectives

Individuals take the Massachusetts Tests for Educator Licensure (MTEL) Mathematics/Science (Middle School) exam to show their competency in middle-grades math and science so that they can earn certification as middle grades math and/or science teachers. This certification exam includes completing 100 computer-administered multiple-choice questions and two open-response assignments, all in a four-hour testing session. Eight percent of your score for this exam will be based on your knowledge of number sense and operations, including exponents.

### 1. Exponent: Definition & Properties

An exponent tells you how many times to use a number in a multiplication problem. This lesson will define the properties of exponents and how to interpret them. There will also be a quiz at the end of the lesson.

### 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 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!

### 4. 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!

### 5. 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.

### 6. 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!

### 7. Changing Negative Exponents to Fractions

A negative exponent isn't like a normal exponent. In this lesson, we'll learn about negative exponents and how they lead us to fractions. We'll practice with numbers and variables.

### 8. 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.

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### Other Chapters

Other chapters within the MTEL Mathematics/Science (Middle School)(51): Practice & Study Guide course

- MTEL Middle School Math/Science: Number Structure
- MTEL Middle School Math/Science: Absolute Value
- MTEL Middle School Math/Science: Numerical & Algebraic Properties
- MTEL Middle School Math/Science: Properties of Equality & Inequality
- MTEL Middle School Math/Science: Mathematical Operations
- MTEL Middle School Math/Science: Introduction to Fractions
- MTEL Middle School Math/Science: Operations with Fractions
- MTEL Middle School Math/Science: Decimals & Decimal Operations
- MTEL Middle School Math/Science: Percents
- MTEL Middle School Math/Science: Ratios, Proportions & Rate of Change
- MTEL Middle School Math/Science: Estimation in Math
- MTEL Middle School Math/Science: Real Numbers
- MTEL Middle School Math/Science: Roots & Powers
- MTEL Middle School Math/Science: Algebra Basics
- MTEL Middle School Math/Science: Principles of Algebra
- MTEL Middle School Math/Science: Functions
- MTEL Middle School Math/Science: Linear Equations
- MTEL Middle School Math/Science: Polynomials
- MTEL Middle School Math/Science: Quadratic Equations
- MTEL Middle School Math/Science: Vectors in Linear Algebra
- MTEL Middle School Math/Science: Matrices in Linear Algebra
- MTEL Middle School Math/Science: Sequences & Series
- MTEL Middle School Math/Science: Measurement
- MTEL Middle School Math/Science: History of Geometry
- MTEL Middle School Math/Science: Geometric Properties & Theorems
- MTEL Middle School Math/Science: Principles of Geometry
- MTEL Middle School Math/Science: Algebraic Applications in Geometry
- MTEL Middle School Math/Science: Area, Perimeter & Volume
- MTEL Middle School Math/Science: Using Trigonometric Functions
- MTEL Middle School Math/Science: Trigonometric Graphs
- MTEL Middle School Math/Science: Solving Trigonometric Equations
- MTEL Middle School Math/Science: Trigonometric Identities
- MTEL Middle School Math/Science: Trigonometric Applications
- MTEL Middle School Math/Science: Types of Data
- MTEL Middle School Math/Science: Probability & Statistics
- MTEL Middle School Math/Science: Conditional & Independent Probability
- MTEL Middle School Math/Science: Probability & Statistics Calculations
- MTEL Middle School Math/Science: Basics of Logic
- MTEL Middle School Math/Science: Foundations of Science
- MTEL Middle School Math/Science: Scientific Research
- MTEL Middle School Math/Science: The Scientific Method
- MTEL Middle School Math/Science: Data Collection
- MTEL Middle School Math/Science: Analyzing Scientific Data
- MTEL Middle School Math/Science: Laboratory Procedures & Safety
- MTEL Middle School Math/Science: Experimental Chemistry
- MTEL Middle School Math/Science: Matter
- MTEL Middle School Math/Science: Inorganic Chemistry
- MTEL Middle School Math/Science: Measurement & Problem Solving
- MTEL Middle School Math/Science: Atomic Structure
- MTEL Middle School Math/Science: The Periodic Table
- MTEL Middle School Math/Science: Chemical Bonding
- MTEL Middle School Math/Science: Phase Changes for Liquids & Solids
- MTEL Middle School Math/Science: Solutions in Chemistry
- MTEL Middle School Math/Science: Stoichiometry & Chemical Equations
- MTEL Middle School Math/Science: Acids, Bases & Reactions
- MTEL Middle School Math/Science: Equilibrium
- MTEL Middle School Math/Science: Chemical Kinetics
- MTEL Middle School Math/Science: Thermodynamics in Chemistry
- MTEL Middle School Math/Science: Newton's First Law of Motion
- MTEL Middle School Math/Science: Newton's Second Law of Motion
- MTEL Middle School Math/Science: Newton's Third Law of Motion
- MTEL Middle School Math/Science: Force & Motion
- MTEL Middle School Math/Science: Wave Behavior
- MTEL Middle School Math/Science: Waves, Sound & Light
- MTEL Middle School Math/Science: Energy
- MTEL Middle School Math/Science: Electricity
- MTEL Middle School Math/Science: Magnetism & Electromagnetism
- MTEL Middle School Math/Science: Cells & Living Things
- MTEL Middle School Math/Science: Cell Division
- MTEL Middle School Math/Science: Genetics & Heredity
- MTEL Middle School Math/Science: DNA
- MTEL Middle School Math/Science: Genetic Mutations
- MTEL Middle School Math/Science: Origin & History of the Earth
- MTEL Middle School Math/Science: Ecosystems
- MTEL Middle School Math/Science: Evolving Ecosystems
- MTEL Middle School Math/Science: Rocks, Minerals & Soil
- MTEL Middle School Math/Science: Forces that Change the Earth's Surface
- MTEL Middle School Math/Science: Earth's Hydrosphere
- MTEL Middle School Math/Science: Structure of the Earth's Atmosphere
- MTEL Middle School Math/Science: Earth's Atmosphere, Weather & Climate
- MTEL Middle School Math/Science: Solar System
- MTEL Middle School Math/Science: Characteristics of the Universe
- MTEL Mathematics/Science (Middle School) Flashcards