LEQ: How do you simplify exponential
expressions using the Product Property of
Exponents?
Title of the lesson:
 Lesson 3: Saxon
 Simplifying Expressions Using the Product Property of Exponents.
Class: Title:
 Algebra 1 Honors
Power Point Created by:
 Mrs. Rivera
srivera.simplifyingexpressions.pp
Purpose:
Review:
 MA.912.D.7.1
Perform set operations such as union and intersection,
complement, and cross product.
New Concept:
 Prerequisite for MA.912.A

MA.912.A.4.1 (highlight)
Simplify monomials and monomial expressions using the laws of
integral exponents.
FYI: "Integral exponent" means the exponent is a whole number, that
is integer.
Ticket Out the Door!
Note:
Test will be assigned on Fridays and quizzes can happen at
anytime without warning.You must study every night.
Reading the math book is one of the most important
assignments in this class.
Planners: Homework
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1.
2.
3.
4.
5.
6.
7.
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Make a three column graphic organizer for the following
vocabulary words.You can find these terms in Lesson 2
(Saxon Textbook) or glossary in the back of the book.
Ex.
Vocabulary
Definition
Diagram/example
1. Variable
A symbol, usually a letter, used
to represent an unknown
number.
X + 12 = 50
Variable
Constant
Factor
Coefficient
Implied coefficient
Terms of an expression
Product Property of Exponents
Read lesson 2 and lesson 3.
Complete Lesson 3 (1-30)
‘X’ is the variable.
* TYPE AND SAVE it in
your computer*
Numbered Heads Together
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Teammates work together to ensure all members
understand; one is randomly selected to be held accountable.
STEPS:
Students number off.
Teacher poses a problem and gives think time.
Students lift up from their chairs to put their heads together,
discuss and teach.
Students sit down when everyone knows the answer or has
something to share.
Teacher calls a number. The student with that number from
each team answers simultaneously, using a small white board.
Teammates celebrate students who responded.
Problem # 1
The set G represents even numbers from 2 to
20.
 G = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
The set P represents multiples of 3 from 3 to
27.
 P = {3, 6, 9, 12, 15, 18, 21, 24, 27}
 How many elements are in the set G ∩ P?
Problem # 1 - Answer

How many elements are in the set G ∩ P?
3
Problem # 2
The set T represents several Taurine breeds of cattle
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T = {Angus, Devon, Shorthorn, Texas Longhorn}
The set Z represents several Zebu breeds of cattle.
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Z = {Boran, Nelore, Ponwar}
What is the total number of elements in the set T X Z?
Problem # 2 - Answer
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What is the total number of elements in the
se T X Z?
12
Problem # 3
Hint: The symbol ~ represents “not.”
The zip code of a location consists of five digits
chosen from the set Z shown below.
 Z = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
The set L represents the digits in the zip code for Key
Largo.
 L = {3, 3, 0, 3, 7}
The set K represents the digits in the zip code for
Killarney.
 K = {3, 4, 7, 4, 0}
1. How many odd numbers are in the set ~(L ∪ K)?
2. What are the odd numbers left in the set?
Problem # 3 - Answer
How many odd numbers are in the set ~(L ∪ K)?
3
What are the odd numbers left in the set?
{1, 5, 9}
Problem # 4
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Let A = {3, 6, 9, 12} and B = {2, 4, 6, 8}.
Which of the following represents the union
of A and B?
A. {6}
 B. { 2, 3, 4, 8, 9,12 }
 C. { 2, 3, 4, 6, 8, 9,12 }
 D. { 2, 4, 6, 8}
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Problem # 4 - Answer
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Which of the following represents the union
of A and B?
A. {6}
 B. { 2, 3, 4, 8, 9,12 }
 C. { 2, 3, 4, 6, 8, 9,12 }
 D. { 2, 4, 6, 8}
 The answer choice is C
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Problem # 5
Set D lists the ages of Diana’s grandchildren.
D = {2, 5, 6, 8, 10, 11}
Set K lists the ages of Karen’s grandchildren.
K = {2, 10, 18}
Set P lists the ages of Patrick’s grandchildren.
P = {10, 11, 14}
What is the greatest age in the set (K∪ P) ∩ D ?
Problem # 5 Answer
What is the greatest age in the set
(K∪ P) ∩ D ?
Answer: 11
Problem # 6
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How much do pirates pay to get their
ears pierced?
Problem # 6 Answer
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A Buck an ear.
New Concept: Simplifying Expressions Using
the Product Property of Exponents. Lesson 3
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Note Taking:
Product Property of Exponents
If ‘k’ and ‘t’ are real numbers and x is not ‘0’, then
Xk * Xt = Xk+t
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35 * 34 = 35+4 = 39
m3 * m2 * m4 * n6 * n7 = m3+2+4 * n6+7= m9 n13
More Practice
1)
2)
3)
4)
10xy3 * 8x5 y3 =
(p4)4 =
(2b2)4 =
7v3 * 10u3 v5 * 8uv3 =
(worksheet with more practice if time allows)
Ticket out the door!
Use the Product Property
of Exponents to solve
b2 * c 2 * c * b 2 * b