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At-Home Lesson
7.1 Exponent Properties Involving Products
• NS 2.3 - Multiply, divide, and simplify rational numbers by using exponent rules.
• AF 2.1 - Simplify and evaluate expressions that include exponents.
Math Standards
Technology Standards• 5a - Advocate and practice safe, legal, and
responsible use of information and technology.
• 6b - Select and Use applications effectively and productively.
Review
X3
Exponent
Review
X3
Base
Review
X3
The exponent and the base together are called...Power.
Review
Definition of a negative exponent
a a
n=-n 1
Exponent Properties
Involving Products
Section 7.1
Review
Product of Powers Property
a a a
m + n
=m n.
To multiply powers with the same base, add their exponents.
Using the...Product of Powers Property
7 7 7
8 + 9
=8 9. Product of
powers property
Example A
7 =
17Add Exponents
Using the...Product of Powers Property
x x x
7 + 4
=7 4. Product of
powers property
Example B
x =17
Add Exponents
Using the...Product of Powers Property
y y y
-2 + (-5)
=-2 -5. Product of
powers property
Example C
y =-7
Add Exponents
= y1
7
Definition of negative exponent
ReviewPower of a Power Property
a a
m n=
m
To simplify a power of a power,multiply exponents.
)( n
Using the...Power of a Power Property
Power of apower property
Example A
=Multiply
Exponents
6 6 4
=4)( 4 4 .
6 16
Using the...Power of a Power Property
Power of apower property
Example B
=Multiply
Exponents
-0.3 =5)( 2[ ] -0.3 )( 5 2.
-0.3 )(10
Using the...Power of a Power Property
Power of apower property
Example C
=Multiply
Exponents
m m -3
=-3)( 4 4 .
m -12
= m1
12
Definition ofnegative exponents
ReviewPower of a Product Property
ab a
m
=To simplify a power of a product,
find the power of each factor and multiply.
)(m
b
m
Using the...Power of a Product Property
Power of aproduct property
Example A
=Evaluate
power
3x 3 x4
=)( 4 4
81x 4
Using the...Power of a Product Property
Power of aproduct property
Example B
Definition ofnegative exponent
-4d =)(-3
-4 )(-3
d -3.
d 3-4 )( 3=1 1
.
Continued
Using the...Power of a Product Property
Example B continued
Evaluate Power
d 3-64 )( 3=1 1
.
= -64 d 3
1Simplify
At-Home Quiz*
*Work needs to be turned in first thing tomorrow
(You may use the previous examples for help)
Quiz
x x7 4.a)
c) y 2)( -5
b)
d)
4z )(4
rs )( 9
At-Home Quizis now complete
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