Lesson 8.3 Notes: Division Properties of Exponents
Division Properties of Exponents:

Quotient of Powers Property: To divide powers having the same base, subtract the
exponents.
o

Example:
-or-
Power of a Quotient Property: To find a power of a quotient, find the power of the
numerator and the power of the denominator and divide.
o
Example: ( )
-or-
( )
More Examples: Simplify each expression.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10. What property was used in examples 1 – 9?___________________________________________
11. ( )
12. ( )
13. (
14. ( )
15. ( )
16. (
)
)
17. What property was used in examples 11 – 16?_________________________________________
Now You Try: Simplify each expression.
18.
19.
20.
21. ( )
22. ( )
23. (
More Examples: Use all of the properties of exponents to simplify.
24.
25.
(
)
Multiple Choice Practice:
26. Simplify the following expression.
A.
B.
C.
D.
27. Evaluate the following expression when n = 4:
A. 4
B. -4
C. 5
D. -5
|n - 8| - |4 - n|
)