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Ch 14: MTEL Middle School Math/Science: Roots & Powers

About This Chapter

Use the lessons of this chapter to improve your skills solving problems with radical and exponential expressions as you prepare for the MTEL Middle School Math/Science exam.

MTEL Middle School Math/Science: Roots & Powers - Chapter Summary

Our expert instructors in these lesson videos will help you review how to solve problems with exponents and radicals by explaining the rules to keep in mind when working with radical and exponential expressions. They will also explain the steps used to find the solutions to problems with radical and exponential expressions. After you complete this chapter you should be ready for questions on the MTEL Middle School Math/Science exam about:

  • The quotient rule and simplifying square roots
  • Seven properties and rules of using exponents
  • Using the product of powers rule when multiplying exponential expressions
  • Using the quotient of powers rule when dividing exponential expressions
  • Solving problems with an exponent of zero and/or a negative exponent
  • Estimating square roots
  • Simplifying expressions with square roots and square roots of powers
  • Rationalizing denominators in radical expressions

After you watch these lesson videos be sure to read the lesson transcripts and reinforce your comprehension of the material presented in them. If you find any topics you don't understand, be sure to send any questions you may have to our instructors so that they can clarify any confusion you may have. Then take the lesson quizzes to test your understanding of the lessons and find areas you should review further.

13 Lessons in Chapter 14: MTEL Middle School Math/Science: Roots & Powers
Test your knowledge with a 30-question chapter practice test
Radicands and Radical Expressions

1. Radicands and Radical Expressions

It's easy to see that funky radical symbol and panic just a little bit. There are so many rules that go along with it, it's hard to keep up with them all. This lesson will help by describing what you should do when you are faced with a square root.

Simplify Square Roots of Quotients

2. Simplify Square Roots of Quotients

The quotient rule can be used to simplify square roots of quotients. This lesson will define the quotient rule and show you how it is used to simplify square roots.

What Are Exponents? - Definition, Properties & Rules

3. What Are Exponents? - Definition, Properties & Rules

Exponents are the mathematical shorthand that tells us to multiply the same number by itself for a specified number of times. This lesson will not only explain how the exponent works but also discuss the seven distinct properties, or rules, that govern its use.

How to Use Exponential Notation

4. 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.

Product Of Powers: Definition, Rule & Property

5. Product Of Powers: Definition, Rule & Property

The product of powers rule states that when multiplying two powers with the same base, just add the exponents. Confused yet? This lesson will clear everything up, give some examples and provide a quiz for you to test your knowledge.

Quotient Of Powers: Property & Examples

6. Quotient Of Powers: Property & Examples

The quotient of powers rule states that when dividing two powers with the same base, just subtract the exponents. Don't worry if that doesn't make sense off the bat; this lesson will clear everything up, give some examples, and provide a quiz for you to test your knowledge.

Zero Exponent: Rule, Definition & Examples

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.

Negative Exponent: Definition & Rules

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.

Working With Fractional Powers

9. Working With Fractional Powers

If you know what to do with 3 to the second power, then you understand exponents. But what if the exponent is a fraction? Find out what to do with fractional powers in this lesson.

Estimating Square Roots

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.

Simplifying Expressions Containing Square Roots

11. Simplifying Expressions Containing Square Roots

In order to write radical expressions correctly, they have to be written in their simplest form. This lesson will show you how to simplify expressions containing numbers and variables inside a square root.

Simplifying Square Roots of Powers in Radical Expressions

12. Simplifying Square Roots of Powers in Radical Expressions

Simplifying radical expressions that contain powers can be tricky. There are a few simple rules that will help you perform these simplifications with ease. This lesson will teach you how.

Rationalizing Denominators in Radical Expressions

13. Rationalizing Denominators in Radical Expressions

Radical expressions containing denominators are not simplified completely unless the denominator is free of radical symbols. This lesson will teach you how to remove a radical from the denominator of a fraction through a process called rationalizing the denominator.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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