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Kansas State Polytechnic

R.4 Exponents

 1: Introduction to Exponents

This video covers:
*What is an exponent and how it simplifies
*Review of R.1 Video #4: Introduction to Exponents and Roots

Vocabulary: Base, Power, Exponent, Integer, 

Examples: 
Review Examples          Examples to Come

 


2: Exponent Properties 1, 2, 3 - Multiplication, Division, Zero Power

This video covers:
*The Exponent Properties included here:
Properties 1, 2, 3
*Proofs of why each of the properties above work
*How the exponent properties build on each other

 Examples: 
Video 2 Examples

 


3: Exponent Property 4 - Negative Exponents (Bad Attitude)

This video covers:
*The Exponent Property included here:
Property 4
*Proof of why the property above simplifies 
*What is meant when the words "bad attitude" are mentioned
*How you can simplify each expression in multiply ways

 Examples:
Video 3 Examples

 


4: Exponent Properties 5, 6 - Powers on the Outside of the Parenthesis

This video covers:
*The Exponent Properties included here:

Properties 5, 6
*Proofs of why each of the properties above work
*Why you need to distribute powers to all bases, including the numbers and not just the variables

 Examples:
Video 4 Examples

 


5: Exponent Properties 7, 8 - Fractions with Powers, Including Negative Powers

This video covers:
*The Exponent Properties included here:

Properties 7, 8
*Proofs of why each of the properties above work
*Why you need to distribute powers to all bases, including the numbers and not just the variables
*Why you should simplify the inner most part of the expression before distributing outside exponents
*Why you cannot distribute powers when the inside operation is addition or subtraction

 Examples:
Video 5 Examples

 


6: Exponent Examples - Combining All Properties in Examples

This video includes:
*A recap of all the 8 exponent properties
*The best route to simplify exponent properties when there are multiple operations
*The difference between a negative exponent and a negative base
*What checks to do to make sure you are finished
*Why I don't give exact homework problems as examples

Examples: 
Video 6 Examples

 


 7: Introduction to Scientific Notation

This video covers:
*What scientific notation is, including the proper format, and why it is important
*Definition of notation
*A real life example of scientific notation
*Converting from scientific notation to standard decimal notation
*Converting from standard decimal notation to scientific notation

 Examples:
Scientific Notation Conversion Examples

 


 8: Multiplying and Dividing Scientific Notation Numbers

This video covers:
*The easiest way to multiply and divide numbers in scientific notation
*Review of how to simplify exponents when multiplying or dividing the same bases
*Reminder to write answers in scientific notation and how to adjust by one unit if necessary

Examples:
Scientific Notation Multiplication and Division Examples