1. Aim: Laws of Exponents
Do Now
Evaluate the following using the order of
operations.
-9 + 2 (-3)
-7 - (-2)
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2. Anticipatory Set:
Complete the following table based on the first example.
Then answer the questions below.
Multiplication of Powers Factored Form
with the same base
Factored Form
written as a Power
52 • 54
2

3. Anticipatory Set:
Complete the following table based on the first example.
Then answer the questions below.
Multiplication of Powers Factored Form
with the same base
Factored Form
written as a Power
5 2 • 54 (5 • 5)
3

4. Anticipatory Set:
Complete the following table based on the first example.
Then answer the questions below.
Multiplication of Powers Factored Form
with the same base
Factored Form
written as a Power
5 2 • 54 (5 • 5) (5 • 5 • 5 • 5)
4

5. Anticipatory Set:
Complete the following table based on the first example.
Then answer the questions below.
Multiplication of Powers Factored Form
with the same base
Factored Form
written as a Power
5 2 • 54 (5 • 5) (5 • 5 • 5 • 5)
23 • 25
33 • 33
62 • 61
5

6. Anticipatory Set:
Complete the following table based on the first example.
Then answer the questions below.
Multiplication of Powers Factored Form
with the same base
Factored Form
written as a Power
5 2 • 54 (5 • 5) (5 • 5 • 5 • 5)
1.) Describe any relationships you can find between the
“Multiplication of Powers with the same base” column and the
“Factored Form written as a power” column.
2.) Using the relationships you found, create a rule that
would allow you to simplify the expression, 66 • 68, without
first writing the factored form.
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7. LAW OF EXPONENTS FOR MULTIPLICATION:
Multiplying Powers with the Same Base:
7

8. Simplify each expression.
A.) 916 • 913 B.) 83 • 87 • 22 • 25
C.) 75 • 82 • 82 • 7-4 D.) 36 • 47 • 31
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9. Simplify each expression.
E.) x5 • y2 • x7 • y F.) x-4 • x-5 • x6
G.) 9x8 • 3x4 H.) 4x5 • 3x7
9

10. Find the area of the following rectangles.
i.)
x2
x6
j.)
2x4
4x3
10

11. Extra Examples
11

12. BEFORE YOU LEAVE
Explain why the following two examples cannot be
simplified using the Laws of Exponents for
Multiplication and Division.
x6 • y7
12

13. Mr. Tjersland's Math 7
Homework: None
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