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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________
More Properties of Exponents
Simplify. Your answer should contain only positive exponents.
1)
(
x
−2
x
−3
)
4
2)
(
x
4
)
−3
⋅
2
x
4
3)
(
n
3
)
3
⋅
2
n
−1
4)
(
2
v
)
2
⋅
2
v
2
5)
2
x
2
y
4
⋅
4
x
2
y
4
⋅ 3
x
3
x
−3
y
2
6)
2
y
3
⋅
3
x
y
3
3
x
2
y
4
7)
x
3
y
3
⋅
x
3
4
x
2
8)
3
x
2
y
2
2
x
−1
⋅
4
y
x
2
9)
x
(
2
x
0
)
2
10)
2
m
−4
(
2
m
−4
)
3
-1-
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Worksheet by Kuta Software LLC
11)
(
2
m
2
)
−1
m
2
12)
2
x
3
(
x
−1
)
3
13)
(
a
−3
b
−3
)
0
14)
x
4
y
3
⋅
(
2
y
2
)
0
15)
b
a
4
⋅
(
2
b
a
4
)
−3
16)
(
2
x
0
y
2
)
−3
⋅
2
y
x
3
17)
2
k
3
⋅
k
2
k
−3
18)
(
x
−3
)
4
x
4
2
x
−3
19)
(
2
x
)
−4
x
−1
⋅
x
20)
(
2
x
3
z
2
)
3
x
3
y
4
z
2
⋅
x
−4
z
3
21)
(
2
p
m
−1
q
0
)
−4
⋅
2
m
−1
p
3
2
p
q
2
22)
(
2
h
j
2
k
−2
⋅
h
4
j
−1
k
4
)
0
2
h
−3
j
−4
k
−2
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________
More Properties of Exponents
Simplify. Your answer should contain only positive exponents.
1)
(
x
−2
x
−3
)
4
1
x
20
2)
(
x
4
)
−3
⋅
2
x
4
2
x
8
3)
(
n
3
)
3
⋅
2
n
−1
2
n
8
4)
(
2
v
)
2
⋅
2
v
2
8
v
4
5)
2
x
2
y
4
⋅
4
x
2
y
4
⋅ 3
x
3
x
−3
y
2
8
x
8
y
6
6)
2
y
3
⋅
3
x
y
3
3
x
2
y
4
2
y
2
x
7)
x
3
y
3
⋅
x
3
4
x
2
x
4
y
3
4
8)
3
x
2
y
2
2
x
−1
⋅
4
y
x
2
3
xy
8
9)
x
(
2
x
0
)
2
x
4
10)
2
m
−4
(
2
m
−4
)
3
m
8
4
-1-
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Worksheet by Kuta Software LLC
11)
(
2
m
2
)
−1
m
2
1
2
m
4
12)
2
x
3
(
x
−1
)
3
2
x
6
13)
(
a
−3
b
−3
)
0
1
14)
x
4
y
3
⋅
(
2
y
2
)
0
x
4
y
3
15)
b
a
4
⋅
(
2
b
a
4
)
−3
1
8
b
2
a
8
16)
(
2
x
0
y
2
)
−3
⋅
2
y
x
3
x
3
4
y
5
17)
2
k
3
⋅
k
2
k
−3
2
k
8
18)
(
x
−3
)
4
x
4
2
x
−3
1
2
x
5
19)
(
2
x
)
−4
x
−1
⋅
x
1
16
x
4
20)
(
2
x
3
z
2
)
3
x
3
y
4
z
2
⋅
x
−4
z
3
8
x
10
z
y
4
21)
(
2
p
m
−1
q
0
)
−4
⋅
2
m
−1
p
3
2
p
q
2
m
3
16
p
2
q
2
22)
(
2
h
j
2
k
−2
⋅
h
4
j
−1
k
4
)
0
2
h
−3
j
−4
k
−2
h
3
j
4
k
2
2
-2-
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