1. Domain and Range
Domain:
Domain:
Range:
Range:

2. Base raised to an exponent
Exponential Notation
BaseExponent
Base raised to an exponent

3. Exploration Evaluate the following without a calculator: 34 = 33 =
32 =
31 =
Describe a pattern and find the answer for:
30 = 81 27 9 3 1

4. Anything to the zero power is one1
Anything to the zero power is one
Stress same base
Can a equal zero? 4

5. Exploration
Simplify: =

6. Product of a Power
If you multiply powers having the same base, add the exponents.
Stress same base 6

7. Example
Simplify: =

8. Exploration
Simplify:
(x3)5=
x15

9. Power of a Power To find a power of a power, multiply the exponents.
Stress same base 9

10. Example
Simplify: =
8s13t11

11. Exploration
Simplify:
(z2x)5=
z10x5

12. If a base has a product, raise each factor to the power
Power of a Product
Stress same base
If a base has a product, raise each factor to the power 12

13. Example
Simplify: =
-288x7y20

14. Complete the tables by finding the pattern
Exploration 55
3125 54
625 53
125 52 25 51 5 50 1
5-1
5-2
5-3
5-4
1/32
1/16
1/8 1
Complete the tables by finding the pattern 2
1/5 4
1/25
1/125 8
1/625 16

15. A Negative Exponent A simplified expression has no negative exponents.
Stress same base
A simplified expression has no negative exponents. 15

16. Example
Simplify:

17. Exploration
Simplify: =

18. Quotient of a Power
To find a quotient of a power, subtract the bottom exponent from the top if the bases are the same.
Stress same base 18

19. Example
Simplify:

20. Exploration
Simplify:

21. Power of a Quotient
Stress same base
To find a power of a quotient, raise the denominator and numerator to the same power. 21

22. Example
Simplify: