About This Chapter
Who's It For?
Anyone who needs help learning or mastering division with radical and exponential expressions will benefit from the lessons in this chapter. There is no faster or easier way to learn how to divide radical and exponential expressions. Among those who would benefit are:
- Students who have fallen behind in understanding the steps involved in simplifying and dividing radical and exponential expressions
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about dividing radical and exponential expressions
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources
How It Works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Dividing Radicals & Exponential Expressions chapter exam.
Why It Works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the Dividing Radicals & Exponential Expressions chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any division question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students Will Review:
This chapter helps students review methods for dividing radical and exponential expressions covered in a standard math course. Topics covered include:
- A review of basic arithmetic with signed numbers
- The five main exponent properties
- Methods for dividing radical expressions
- Techniques for rationalizing the denominator
- Approaches to dividing exponential expressions
- Methods for converting negative exponents to fractions
1. Arithmetic Calculations with Signed Numbers
Signed numbers are often referred to as integers. Integers include both positive and negative numbers. In this lesson, you will learn how to add, subtract, multiply, and divide integers.
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. 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.
4. Dividing Radical Expressions
When dividing radical expressions, we use the quotient rule. This lesson will describe the quotient rule and how to use it to solve these radical expressions.
5. 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.
6. 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.
7. Division and Reciprocals of Radical Expressions
Watch this video lesson to learn what you need to do when dividing radical expressions. Learn what you need to look out for before you divide and why you can't leave your radical in your denominator.
8. Power Of A Quotient: Property & Rule
In this lesson, learn about the power of a quotient property rule and how it's used in algebraic expressions. We will explain the rule, give some examples and provide a quiz for you at the end.
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Other chapters within the Division: Help & Review course