Kuta Software - Infinite Algebra 1
Name___________________________________
More Properties of Exponents
Date________________ Period____
Simplify. Your answer should contain only positive exponents.
1) ( x −2 x −3 )
3) (n
5)
3 3
)
⋅ 2n
9)
2) ( x 4 )
−1
2x2 y4 ⋅ 4x2 y4 ⋅ 3x
−3 2
−3
⋅ 2x4
2
4) (2v) ⋅ 2v
6)
2 4
3x y
3
3x y
x y ⋅x
4x2
2 2
8)
x
(2 x 0) 2
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2
2 y3 ⋅ 3x y3
3x y
3 3
7)
4
10)
-1-
2 x −1 ⋅ 4 y x 2
2m
−4
(2m −4 ) 3
Worksheet by Kuta Software LLC
11)
(2m 2) −1
m
12)
2
−3 −3 0
13) (a b
)
15) ba 4 ⋅ (2ba 4 )
17)
19)
21)
( x −1 ) 3
4 3
−3
16) (2 x 0 y 2 )
18)
k −3
(2 x) −4
−1
3
14) x y ⋅ (2 y
2k 3 ⋅ k 2
x
2x
20)
⋅x
−3
2 0
)
⋅ 2 yx3
( x −3 ) 4 x 4
2 x −3
(2 x 3z 2) 3
3 4 2
−4 3
x y z ⋅x z
(2 pm −1 q 0) −4 ⋅ 2m −1 p 3
2 pq 2
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22)
-2-
(2h j 2k −2 ⋅ h 4 j −1 k 4) 0
2h −3 j −4 k −2
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1
Name___________________________________
More Properties of Exponents
Date________________ Period____
Simplify. Your answer should contain only positive exponents.
1) ( x −2 x −3 )
4
2) ( x 4 )
1
x 20
3) (n
3 3
)
⋅ 2n
−1
2
4) (2v) ⋅ 2v
2x2 y4 ⋅ 4x2 y4 ⋅ 3x
−3 2
6)
3 3
x y ⋅x
2 y3 ⋅ 3x y3
2 4
3x y
8x8y6
2 y2
x
3
4x2
2 2
8)
x4 y3
4
9)
2
8v 4
3x y
7)
⋅ 2x4
2
x8
2n 8
5)
−3
10)
2m
−4
(2m −4 ) 3
m8
4
x
4
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2 x −1 ⋅ 4 y x 2
3 xy
8
x
(2 x 0) 2
3x y
-1-
Worksheet by Kuta Software LLC
11)
(2m 2) −1
m
12)
2
−3 −3 0
)
4 3
−3
16) (2 x 0 y 2 )
x3
4 y5
2k 3 ⋅ k 2
( x −3 ) 4 x 4
18)
k −3
2k 8
21)
−3
1
8b 2 a 8
)
−1
⋅ 2 yx3
2 x −3
1
2x5
(2 x) −4
x
2 0
x4y3
15) ba 4 ⋅ (2ba 4 )
19)
( x −1 ) 3
14) x y ⋅ (2 y
1
17)
3
2x6
1
2m 4
13) (a b
2x
20)
⋅x
(2 x 3z 2) 3
3 4 2
−4 3
x y z ⋅x z
1
16 x 4
8 x 10 z
y4
(2 pm −1 q 0) −4 ⋅ 2m −1 p 3
(2h j 2k −2 ⋅ h 4 j −1 k 4) 0
2 pq 2
22)
2h −3 j −4 k −2
h3j 4k2
2
m3
16 p 2 q 2
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-2-
Worksheet by Kuta Software LLC