Domain and Range

1
Domain and Range
Domain
Domain
Range
Range
2
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
Zero Power
1
a0
Anything to the zero power is one
Can a equal zero?
5
Exploration
Simplify

6
Product of a Power
If you multiply powers having the same base, add
the exponents.
7
Example
Simplify

8
Exploration
Simplify
x15
(x3)5
9
Power of a Power
To find a power of a power, multiply the
exponents.
10
Example
Simplify

8s13t11
11
Exploration
Simplify
(z2x)5
z10x5
12
Power of a Product
If a base has a product, raise each factor to the
power
13
Example
Simplify

-288x7y20
14
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
¼
½
1




Complete the tables by finding the pattern
2
1/5
4
1/25
8
1/125
16
1/625
15
A Negative Exponent
A simplified expression has no negative exponents.
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.
19
Example
Simplify
20
Exploration
Simplify
21
Power of a Quotient
To find a power of a quotient, raise the
denominator and numerator to the same power.
22
Example
Simplify