Properties Of Exponents Worksheet
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1Name:________________________________
Properties of Exponents (Sections 9.1 and 9.2)
Simplify each expression and provide the generalized rule for each group.
1.
2.
3.
2
4
2
3
4
a •
a
a •
a
a
a
a
•
•
Rule:
m
n
a
a
•
=
4.
5.
6.
2
3
3
2
2
4
(a
)
(a
)
(a
)
Rule:
m
n
(
a )
=
7.
8.
9.
3
5
4
(
a •
b
)
(
a •
b
)
(
a •
b
)
Rule:
m
(
a
b
)
•
=
10.
11.
12.
2
3
2
2
4
4
2
3
(
a •
b
)
(
a •
b
)
(
a •
b
)
Rule:
m
n
p
(
a
b
)
•
=
a
a
a
13.
14.
15.
3
5
6
(
)
(
)
(
)
b
b
b
a
Rule:
m
(
)
=
b
6
4
3
a
a
a
16.
17.
18.
2
2
a
a
a
m
a
Rule:
=
n
a
CHALLENGE PROBLEMS:
Determine the rule & show it follows from the above rules
What is
?
0
a
What is
?
n
a
!
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