The document provides information about an upcoming math MAP test and covers the multiplication property of exponents. It discusses how when multiplying the same base, you add the exponents. Examples are provided of multiplying terms with the same base and writing the product as a single exponential term by adding the exponents. A review of exponential notation is also presented along with examples of simplifying expressions using the multiplication property.

1. HOUSEKEEPING
Did you complete the
reading Map test yesterday?
Today – Math MAP test (9:00 am or 2:00 pm)
Now Open!!
• Unit 1: Lesson 2 Multiplication and Division of Numbers in
Exponential Form

2. WARM UP
Write in exponential form.
A. x • x • x • x • x
B. d • d • d
C. 7 • 7 • b • b

3. PROPERTIES OF
EXPONENTS
MULTIPLICATION

4. GOAL FOR TODAY…….
Goal:
 Be able to apply
properties of
exponents to
generate
equivalent
numerical
expressions
Agenda:
 Review –
Exponential
Notation
 Multiplication
Property

5. Properties of Exponents
There are some basic properties that we
will discuss in this lesson and the next
lesson that deal with “raising a number to
a power”

6. What do you think?
For example: 35
∙ 37
How do you multiply different powers of
the same number x: if m, n are positive
integers, what is 𝑥 𝑚 ∙ 𝑥 𝑛?

7. Example: 35
∙ 37
Think of it this way!
35
∙ 37
= 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3

8. The factors of a power, such as 74, can be
grouped in different ways.
7 • 7 • 7 • 7 =
(7 • 7 • 7) • 7 =
(7 • 7) • (7 • 7) =
Notice the relationship of the exponents in
each product.
74
73 • 71 = 74
72 • 72 = 74

9. By the definition of exponential notation we
looked at in the previous lesson.

10. Multiplication Property
We’re the
same!?!?

11. Example Time
Multiply. Write the product as one power.

12. Example Time
Multiply. Write the product as one power.

13. What would happen if there were more than
two terms with the same base? Write an
equivalent expression for each problem.

14. Can the following expressions be simplified? If
so, write an equivalent expression. If not,
explain why not.

15. Can the following expressions be simplified? If
so, write an equivalent expression. If not,
explain why not.

18. WRAP UP
It’s over
already : (
If you have the same bases,
add the exponents when
multiplying.