Back To Course

Algebra I: High School20 chapters | 168 lessons | 1 flashcard set

Watch short & fun videos
**
Start Your Free Trial Today
**

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 70,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Jennifer Beddoe*

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.

People are always looking for the easy wayâ€¦ the shortcut. Folks are always wanting something to make their jobs easier. Some people even want their relaxation to be as easy as possible. For example, the TV remote. It's way too difficult to get up and change the channel - we have to be able to do that from a prone position on the couch.

Mathematicians are no different. Any way they can find to write things more simply, to save time and space (and ink in the math books, to be honest), they will do it.

**Exponential notation** is a mathematical shortcut. It is a method for writing an equation that shows a certain term multiplied to itself many times.

The exponent is written as a superscript number after the base number. The exponent tells how many times the base is to be multiplied to itself. In this picture, the base number is the 2 and the exponent is the three. The notation means that 2 is to be multiplied to itself 3 times.

2 x 2 x 2

Exponential notation can also be written with a carat (^), like this:

2^3

Let's try an example of simplifying a multiplication problem with exponential notation.

Say we had this mathematical expression

4 x 4 x 4 x 4 x 4 x 4 x 4 x 4

It's long, hard to understand and easy to get confused. If it could be written simpler, that would be wonderful. This is where exponential notation comes into play. This equation written in exponential notation would be:

48 or 4^8

because there are 8 4s being multiplied to each other.

Here's another example.

Simplify *X* x *X* x *X* x *X* x *X* x *X* x *X* x *X* x *X* x *X* x *X*

When we count the *X*s, we find that there are 11, which means that the exponent will be 11.

The solution is *x*11 or *x*^11.

We can also go the other way.

Write out 3^5.

The exponent tells us that this equation will have 3 multiplied to itself 5 times. So, written out, 3^5 is:

3 x 3 x 3 x 3 x 3

Exponential notation involves writing certain mathematical equations in a simpler form. An expression written with exponential notation will describe how many times (the exponent) to multiply a number (the base) to itself. It is an easier way to write what could be a longer complicated multiplication problem.

After watching this lesson, you should be able to define exponential notation and explain how it is used in mathematics.

To unlock this lesson you must be a Study.com Member.

Create your account

Already a member? Log In

BackDid you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
1 in chapter 5 of the course:

Back To Course

Algebra I: High School20 chapters | 168 lessons | 1 flashcard set

- How to Use Exponential Notation 2:44
- Simplifying and Solving Exponential Expressions 7:27
- Exponential Expressions & The Order of Operations 4:36
- Multiplying Exponential Expressions 4:07
- Dividing Exponential Expressions 4:43
- The Power of Zero: Simplifying Exponential Expressions 5:11
- Negative Exponents: Writing Powers of Fractions and Decimals 3:55
- Power of Powers: Simplifying Exponential Expressions 3:33
- Go to High School Algebra: Exponents and Exponential Expressions

- Communications 105: Intro to Mass Communications II
- Chemistry 303: Organic Chemistry I
- View High School: Biology
- Introduction to Purpose-Driven Sales
- Computer Science 311: Artificial Intelligence
- Noble Sales Techniques
- Working with Management in Sales
- Building Your Sales Network
- Cultural Impact of Television
- Sales Calls & Presentations
- FTCE Prep Product Comparison
- TExES Prep Product Comparison
- Study.com ASVAB Scholarship: Application Form & Information
- Study.com GED Scholarship: Application Form & Information
- Study.com GACE Scholarship: Application Form & Information
- Study.com CSET/CBEST Scholarship: Application Form & Information
- Study.com NES Scholarship: Application Form & Information

- Using Cross-Tabulation Reports in Marketing Research
- The Child-Saving Movement: History, Goals & Outcomes
- Designing Marketing Research Questionnaires
- Statistical Software for Marketing Research
- Unsupervised Learning in Machine Learning
- Practical Application for Data Structures: Stacks, Queues & Linked Lists
- Cultural Differences in Oral & Written Discourse
- Developing a Mission Statement & Philosophy for a Library Media Program
- Quiz & Worksheet - HR Negotiation & Bargaining
- Quiz & Worksheet - Bias in Personality Research
- Quiz & Worksheet - Measurement Unit Education
- Quiz & Worksheet - Context Effects & Consumer Choice
- Quiz & Worksheet - Target Market Analysis
- International Law & Global Issues Flashcards
- Foreign Policy, Defense Policy & Government Flashcards

- MTTC Chemistry: Practice & Study Guide
- Macroeconomics Textbook
- GED Science: Tutoring Solution
- Business 107: Organizational Behavior
- Writing Review for Teachers: Study Guide & Help
- Lesson Plans for Absolutism in Western Europe
- Lyndon B. Johnson and the Vietnam War: Help and Review
- Quiz & Worksheet - Implementing a Critical Friends Group
- Quiz & Worksheet - Migration & Settlement in Caribbean, Central & South America
- Quiz & Worksheet - Philosophical Fallacies & Arguments
- Quiz & Worksheet - Changes to Hair, Skin & Voice with Age
- Quiz & Worksheet - Latin American Countries & Capitals

- Properties of Inverse Trigonometric Functions
- When was Machu Picchu Built? - Location & Elevation
- Alternative Teacher Certification in Virginia
- How to Pass Intermediate Algebra
- Causes & Effects of the Vietnam War: Assignment 1 - President Johnson & Guerilla Warfare
- How Much Does a Smart Board Cost?
- Sequencing Activities for Preschoolers
- Maintaining Your PMI-SP Certification
- How to Teach English Abroad
- How to Pass the Living Environment Regents Exam
- How to Earn a Digital Badge
- Persuasive Writing Activities

Browse by subject