1. Chapter 6.1 Rules of Exponents
Objectives:
1.) Become familiar with the product of powers pattern and quotient of powers.

2. Power
An expression made up of a base (ground number) and an exponent (flying number)
Expands into repetitive multiplication
Expand
1.) ) )

3. Product Properties Product of Powers-
If multiplying powers of with the SAME BASE, keep base and add the exponents
Ex.)
Power of Powers-
If there is a power as a base, keep base and multiply exponents
Ex.) (32)5
Power of a Product -
If the base is a product, apply the exponent to each factor

4. Quotient Properties Quotient of Powers (Adam and Nolan’s Theorem)-
If you are dividing two powers with the SAME BASE, keep the base and subtract numerator exponent – denominator exponent
Ex.)
Power of Quotient (Trevor and Dan Theorem)-
If there is a fraction as the base, apply the exponent to each the numerator and denominator

5. Zero and Negative Power Properties
Zero Exponent Property
- Anything to the zero power is equal to 1
Ex: 30
Negative Property
If the exponent is negative, cross the fraction line with the attached base and change the sign of exponent.
Ex: Ex: (2x)-3

6. Summary Name Pattern Rule Example Product of Power Power of Power
Power of Product
Quotient of Powers
Power of Quotients
Negative Exponent
Zero Exponent

7. Practice
Pg. 326 #3-8; 15; 33-40