(by 4 people)
Multiplying, Dividing, etc Exponents
This lens is for teachers, parents and students interested in learning about exponents. It includes written and video tutorials on how to deal with exponents. As well it links to other sites that provide explanantions and examples as well. To find the topic you are intested in scroll down or use the table of contents below. Enjoy, and feel free to ask any questions at the bottom of the page.
If you are a teacher looking for resoureces check out my math teaching website. There are some very good worksheets. If you are looking for more math videos check out my videos on youtube.
Though I think this lens is valuable and can really help you understand exponents sometimes it isn't enough. One of the most effective ways to learn math is one on one tutoring. Tutor.com offers 25 minutes for FREE and is something you should definitely check out.
Table of Contents
(2) Zero and Negative Exponent Properties - With video tutorial and examples
(3) Division of Exponent Properties - With video tutorial and examples
(4) Word Problems - Exponential Growth and Decay - With video examples
(5) Other Youtube Videos
Check Out My Other Lenses on Math
- Single Variable Inequalities
- A lens on solving basic inequalities.
- System of Equations
- A lens illustraing the substitution, elimination and graphing method for solving systems of linear equations.
- Linear Inequalities
- A lense exploring linear inequalities and systems of linear inequalities.
- Solving Quadratic Equations
- A lens show how to solve quadratic equations.
- Polynomials
- A lens showing how to add, subtract, multiply and factor polynomials.
Exponent Properties Part One
Product of a Power, Power of a Power, and Power of a Product
Product of Powers
If two monomials with the same base are multiplied together then you add the exponents.
x3·x2 = x5
or (using symbols)
am·an = am+n
Power of a Power
If a monomial containing powers is raised to a power then you multiply the exponents.
(x4)2 = x8
or (Using symbols)
(am)n = amn
Power or a Product
If a monomial containing more a constant and a variable or more than one variable is raised to a power, then you multiply each exponent by that power. Remember the exponent of a constant is one.
(2x3)4 = 24x8 = 16x8
or (Using Symbols)
(ab)n = anbn
These three properties are shown in more detail in the following video.
Remember!!!
Multiplication means Addition
Division means Subtraction
Power means Multiplication
Exponent Properties Tutorial
A18.0 Exponent Properties
This is a short tutorial on some exponent properties. For more math help check out http://www.teachingandlearningmath.blogspot.com/
Runtime: 7:38
795 views
0 Comments:
Exponent Properties Example Set 1
A18.1 Exponent Properties
From http://www.squidoo.com/exponents1 these are four examples utilizing basic exponent laws from Algebra 1. For more math help check out http://teachingandlearningmath.blogspot.com/
Runtime: 1:47
423 views
0 Comments:
Exponent Properties Example Set 2 - Power of a Power
A18.2 Exponent Examples
From http://www.squidoo.com/exponents1 these problems are examples of how to apply the basic exponent properties of Algebra 1. For more math help check out http://teachingandlearningmath.blogspot.com/
Runtime: 2:40
388 views
0 Comments:
Two More Examples Using the Basic Exponent Properties
A18.4 Power of a Product Example
From http://www.squidoo.com/exponents1 this video contains 2 example problems illustrating the power of a product property. For more math help check out http://www.teachingandlearningmath.blogspot.com
Runtime: 1:28
255 views
0 Comments:
Tell Me About Yourself!!!
Zero and Negative Exponent Properties
Zero Exponent Property
Any quantity raised to a power of zero is equal to one.
3210 = 1
or
(3xy3)0 = 1
or (using symbols)
m0 = 1
Negative Exponent Property
Any quantity raised to a negative power is equal to the the reciprocal of the same quantity raised to the opposite(positive) power.
3-4 = 1/(34)
or (using symbols)
m-n = 1/(mn)
The first video shows how to do this more clearly and the videos after that give you some good examples of zero and negative exponents.
Zero and Negative Exponent Tutorial
Zero and Negative Exponent Properties
From http://www.squidoo.com/exponents1 this is a short tutorial on zero and negative exponent properties. For more math help check out http://www.teachingandlearningmath.blogspot.com
Runtime: 5:37
900 views
1 Comments:
Negative Exponent Property Examples
A18.5 Negative Exponent Properties
From http://www.squidoo.com/exponents1 this video contains the solutions of 4 example problems containing negative exponents. For more math help check out http://www.teachingandlearningmath.blogspot.com
Runtime: 1:58
553 views
2 Comments:
What Every High School Student Needs!!!
A graphing calculator is an essential tool for a high school math student taking Algebra, Precalculus and Calculus.
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Division of Exponents
Division of Exponents Property
When dividing exponent with the same base you subtract the exponents. If the bigger exponent is in the numerator then you subtract in the numerator. If the bigger exponent is in the denominator then you subtract in the denominator.
Division Property of Exponents Tutorial
Division of Exponents
From http://www.squidoo.com/exponents1 this is a short tutorial on how to divide powers with common bases. For more math help check out http://www.teachingandlearningmath.com
Runtime: 3:26
586 views
0 Comments:
Examples of the Division Property of Exponents
A18.3 Exponent Properties Involving Fractions
From http://www.squidoo.com/exponents1 the following is a couple of examples of simplifying algebraic fractions involving exponents.
Runtime: 1:40
534 views
1 Comments:
More Examples of the Division Property of Exponents
A18.6 Quotient of Powers Examples
From http://www.squidoo.com/exponents1 the examples in this videos illustrate the quotient of powers properties. For more math help check out http://www.teachingandlearningmath.blogspot.com
Runtime: 2:52
479 views
1 Comments:
Let Books be Your Guide
Algebra for Dummies
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Algebra Workbook For Dummies
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Practical Algebra: A Self-Teaching Guide, 2nd Edition
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Studyworks! Teaching Pro: Mathematics Complete
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High School Learning System 2007 (Win/Mac)
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Which Property is the Most Confusing
Exponential Growth and Decay - Word Problems
Growth
y = C(1 + r)t
Decay
y = C(1 - r)t
The variables mean the same thing for both formulas.
y = how much you have in the end.
C = how much you started with.
r = the rate expressed as a decimal. 5% = .05
t = the time, the units should coincide with the rate. If it is 5% per year then t should be in years.
The next three videos are examples of how these formulas are used in word problems,
Exponential Growth Example 1
A18.7 Compound Interest Problem
From http://www.squidoo.com/exponents1 this is an introductory example on interest problems. It is intended for an Algebra 1 or Pre-Algebra class. For more math help check out www.teachingandlearningmath.blogspot.com
Runtime: 1:37
776 views
9 Comments:
Exponential Growth Example 2
A18.8 Compound Interest Problem
From http://www.squidoo.com/exponents1 this is a basic example of the exponential growth formula. For more math help check out www.teachingandlearningmath.blogspot.com
Runtime: 1:49
1050 views
2 Comments:
Exponential Decay Example 3
A18.9 Exponential Decay Example
From http://www.squidoo.com/exponents1 the following is a basic example of the exponential decay formula. For more math help check out www.teachingandlearningmath.blogspot.com
Runtime: 1:43
563 views
0 Comments:
Exponent Worksheets!!!
- Video Examples
- The following problems are the examples in this lens.
- Exponent Properties 1
- This worksheet has examples of the Product of Powers, Power of a Power, and Power of a Product.
Other Websites Discussing Exponents
- Good Examples
- Some good examples on dealing with exponent properties.
- Good Look at Exponent Properties
- This website explains some of the exponent properties.
Other You Tube Videos About Exponents
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Posted May 21, 2008
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karinmarie
Thank You so much! This is really going to help me. Thanks! Posted May 13, 2008 |
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Rebecca_Newburn
Thanks for another great lens and excellent collection of YouTube videos. I'll share it with my students and colleagues. I also added it to my math lenses. Thanks again! Posted February 14, 2008 |
your great
Posted January 31, 2008
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The_Bard
What a superbly commendable lens, and another fine example of Squidoo's community spirit. Thanks for freely imparting your knowledge for the benefit of others. 5*s. - Paul Posted January 29, 2008 |
