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Common Core Standard N.RN.2
Properties of Exponents Infographic
Power of a Power Property
Power of a Product Property
Power of a Quotient Property
Product of Powers Property
Quotient of Powers Property
Rational Exponent Property
Zero Exponent Property
Properties of Exponents
Exponents are used in Math as a shortcut to tell you how many times to multiply a number by itself. Exponents are sometimes called "powers" or "indices."
For example:
Exponents can also be written as follows: 3^2 4^5 6^4
4^5
The video starts with reviewing the rules of negative exponents with basic problems then moves on to more complex examples of negative exponents
Negative Exponents Video
The exponent can also be negative. Think of negative exponents as how many times one can be divided by this number raised to the power of the exponent.
3 = 1 ÷ ( 3 x 3 ) = 1 ÷ 9 = .111
Another way to look at a negative exponent is as follows
The base
The Exponent
The base
The exponent
4 x 4 x 4 x 4 x 4 = 1024
5 x 5 x 5 = 125
-2
14 Review the Definition of Exponents:
:36 Sample problem multiplying exponents
1:03 Sample problem multiplying negative exponents
1:39 Sample problem with an exponental expression raised to a power
2:15 Sample problem when you have a quantity squared
3:52 Sample problem negative exponental expression raised to a power
4:02 How to work with a negative exponent
4:19 Simplfying exponential fractions
5:05 Simplfying exponential fractions with positive and negative exponents
Negative Exponents
Reviewing Laws of Exponents
Working with Negative Exponents
5 x 5 x 5
Properties of Exponents
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0:22 Introduction to the rules of writing exponents
0:35 Explanation of the parts of an exponent
1:02 Example problem 1 " Writing an exponent"
1:52 Writing an exponent sample proble 2
Properties of Exponents Infographic