1. Exponents

2. Exponents
Definitions: Exponent – Is the number that tells us how many times to multiply a number (called the base) by itself.
Base – Is a number that is multiplied by itself when it is raised to an exponent.
Exponential Form – Is the form of a number when it is written with a base and an exponent.
Perfect Squares – Are numbers that are the squares of whole numbers. For example, 81 is a perfect square because it is the value of 92.
Exponent
Base

3. Exponents Exponential Form Read Multiply Value 101
Ten to the first power
--- 10
102
Ten to the second power or ten squared
10 • 10
100
103
104

4. Writing Numbers in Exponential Form
Exponents
Writing Numbers in Exponential Form
Example 1
7 • 7 • 7 = 73
Example 2
5 • 5 • 5 • 5 = 54
Try these: Write the following expressions in exponential form.
1.) 6 • 6 = 2.) 10 • 10 • 10 • 10 =
3.) 2 • 2 • 2 • 2 • 2 = 4.) 12 • 12 • 12 =

5. Finding the Value of Numbers Written in Exponential Form
Exponents
Finding the Value of Numbers Written in Exponential Form
Example 1
83 = 8 • 8 • 8 = 512
Example 2
Try these: Find the value of the following numbers written in exponential form.
1.) 94 = 2.) 15 =
3.) 4.12 = 4.)

6. Exponents Comparing Exponents Example 1 Example 2 101 __ 22
10 __ 2 • 2
10 _>_ 4
Example 2
43 __ 53
4 • 4 • 4 __ 5 • 5 • 5
64 _<_ 125
Evaluate the exponents
Evaluate the exponents
Place the correct sign between the two numbers
Place the correct sign between the two numbers
Try these: Compare the following numbers written in exponential form. Then, place a <, > or = sign between them.
1.) 82 __ ) 251 __ 53

7. Real-Life Application
Exponents
Real-Life Application
The zoo has an aquarium that holds 74 cubic gallons of water. How many gallons of water does the aquarium hold?