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Ch 6: High School Algebra - Exponential Expressions & Exponents: Help & Review

About This Chapter

The Exponents and Exponential Expressions chapter of this High School Algebra I Help and Review course is the simplest way to master exponents and exponential expressions. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of exponents and exponential expressions.

Who's it for?

Anyone who needs help learning or mastering high school algebra I material will benefit from taking this course. There is no faster or easier way to learn high school algebra I. Among those who would benefit are:

  • Students who have fallen behind in understanding scientific notation or exponents 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 exponents 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 exponents and 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 exponents and exponential expressions chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any exponents or exponential expressions question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

This chapter helps students review the concepts in an exponents and exponential expressions unit of a standard high school algebra I course. Topics covered include:

  • Using exponential notation
  • Writing numbers with scientific notation
  • Using the rules for the order of operations
  • Multiplying and dividing exponential expressions
  • Writing powers of fractions and decimals

14 Lessons in Chapter 6: High School Algebra - Exponential Expressions & Exponents: Help & Review
How to Use Exponential Notation

1. 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.

Scientific Notation: Definition and Examples

2. 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.

Simplifying and Solving Exponential Expressions

3. 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.

Exponential Expressions & The Order of Operations

4. 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.

Multiplying Exponential Expressions

5. 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.

Dividing Exponential Expressions

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.

The Power of Zero: Simplifying Exponential Expressions

7. 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.

Negative Exponents: Writing Powers of Fractions and Decimals

8. 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.

Power of Powers: Simplifying Exponential Expressions

9. Power of Powers: Simplifying Exponential Expressions

Mathematics is a very logical science. There is a rule for everything and not many exceptions to those rules. Working with exponents is no different. This lesson will describe the rule for raising a power to a power and also will give some examples in how to solve them.

Exponential Growth: Definition & Examples

10. Exponential Growth: Definition & Examples

Exponential growth is growth that increases at a consistent rate, and it is a common occurrence in everyday life. In this lesson, learn about exponential growth and some of its real-world applications.

Exponent: Definition & Properties

11. 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.

How to Graph y=sqrt(x)

12. How to Graph y=sqrt(x)

This lesson will show us how to graph the square root function y=sqrt(x). We will look at some of the function's properties, how this graph behaves, and we will see two different ways to go about graphing the function.

Solving the Square Root of i

13. Solving the Square Root of i

In this lesson, we solve for the square root of the imaginary number i. We use Euler's formula and some properties of exponentials to arrive at a very interesting result.

Solving 1^Infinity

14. Solving 1^Infinity

You might think that solving 1 to infinity is a very easy problem. And sometimes it is, but other times, it can get pretty tricky. And it's not always equal to 1.

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Other Chapters

Other chapters within the High School Algebra I: Help and Review course

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