Multiplying, Dividing, etc Exponents
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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
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- Solving Quadratic Equations
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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
Exponent Properties Example Set 1
Exponent Properties Example Set 2 - Power of a Power
Two More Examples Using the Basic Exponent Properties
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
Negative Exponent Property Examples
What Every High School Student Needs!!!
A graphing calculator is an essential tool for a high school math student taking Algebra, Precalculus and Calculus.
Fetching new data from eBay now... please stand byDivision 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
Examples of the Division Property of Exponents
More Examples of the Division Property of Exponents
Let Books be Your Guide
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
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curated content from YouTube
Exponential Growth Example 2
Exponential Decay Example 3
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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