1. Review 6.1-6.2 Laws of Exponents

2. LAW #1 Product law:
Ex:
NOTE:
add the exponents together when multiplying the powers with the same base.
This operation can only be done if the base is the same!
SIMPLIFY THESE ON YOUR OWN:

3. LAW #2 Power of a power:
Ex:
NOTE:
keep the base and multiply the exponents.
Multiply the exponents, not add them!
SIMPLIFY THESE ON YOUR OWN:

4. LAW #3 Power of a product:
Ex:
NOTE:
Distribute the power to each number or variable in the parentheses.
YOU CANNOT DISTRIBUTE THE POWER WHEN YOU ARE ADDING OR SUBTRACTING!!
SIMPLIFY THESE ON YOUR OWN:

5. LAW #4 Quotient Property
NOTE:
Ex:
This operation can only be done if the base is the same!
Subtract “TOP EXPONENT MINUS THE BOTTOM EXPONENT”
SIMPLIFY THESE ON YOUR OWN:

6. LAW #5 Quotient Property
Ex:
Distribute the power to the top and bottom of the quotient.
SIMPLIFY THESE ON YOUR OWN:

7. LAW #6 Zero exponent law:
Any power raised to an exponent of zero equals one.
SIMPLIFY THESE ON YOUR OWN:

8. LAW #7 Negative exponents:
NOTE:
Ex:
This does not change the sign of the base.
To make an exponent positive, flip the base.
SIMPLIFY THESE ON YOUR OWN:

9. More examples on your own:

10. More examples on your own:

11. More examples on your own:

12. More examples on your own:

13. LAW #8 Rational exponents:
NOTE:
Ex:
The bottom number is your root, and top stays as a power
Rewrite these expressions:

14. Examples:

15. Examples:

16. Examples:

17. Get a common denominator - this is going to be our index
Examples: Simplify each expression
Get a common denominator - this is going to be our index

18. Remember we add exponents
Examples: Simplify each expression
Remember we add exponents

19. Examples: Simplify each expression

20. Examples: Simplify each expression

21. Examples: Simplify each expression