More Properties of Exponents - jensenmath.ca
Kuta Software - Infinite Algebra 1
Name___________________________________
More Properties of Exponents
Date________________ Period____
Simplify. Your answer should contain only positive exponents. −2 −3 4
1) ( x x
)
2) ( x
3
3) (n 3 ) ⋅ 2n −1
2 4
5)
3 x −3 y 2
3 3
7)
9)
11)
x y ⋅x
(2m 2) −1
3
3
6)
2 y ⋅ 3x y 3x2 y4
2 2
8)
10)
12)
m2
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4
2
x
(2 x 0) 2
⋅ 2x
2
3
4x2
)
4) (2v) ⋅ 2v
2 4
2x y ⋅ 4x y ⋅ 3x
4 −3
-1-
3x y
2 x −1 ⋅ 4 y x 2
2m −4
(2m −4 ) 3
2x3
( x −1 ) 3
Worksheet by Kuta Software LLC
−3 −3 0
13) (a b
)
15) ba ⋅ (2ba 4
3
17)
2k ⋅ k k
19)
21)
14) x y ⋅ (2 y 4 3
4 −3
)
0 2 −3
16) (2 x y
2
18)
−3
20)
x −1 ⋅ x
)
⋅ 2 yx
3
( x −3 ) 4 x 4 2x
(2 x) −4
)
2 0
−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)
(2h j 2k −2 ⋅ h 4 j −1 k 4) 0 −3 −4 −2
2h j 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. −2 −3 4
1) ( x x
)
2) ( x
1 x 20
4 −3
)
⋅ 2x
2 x8
3
2
3) (n 3 ) ⋅ 2n −1
4) (2v) ⋅ 2v
2n 8
8v 4
2 4
5)
2 4
2x y ⋅ 4x y ⋅ 3x 3 x −3 y 2
3
6)
8x8y6
3 3
7)
x y ⋅x
3
2 y ⋅ 3x y
3
3x2 y4
4x2
2 2
8)
x
(2 x 0) 2
3x y
2 x −1 ⋅ 4 y x 2 3 xy 8
10)
2m −4
(2m −4 ) 3 m8 4
x 4
11)
2
2 y2 x
x4 y3 4
9)
4
(2m 2) −1
12)
m2
( x −1 ) 3 2x6
1 2m 4
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2x3
-1-
Worksheet by Kuta Software LLC
−3 −3 0
13) (a b
)
14) x y ⋅ (2 y 4 3
15) ba ⋅ (2ba 4
4 −3
)
0 2 −3
16) (2 x y
3
2k ⋅ k k
2
18)
−3
⋅ 2 yx
3
( x −3 ) 4 x 4 2x
2k 8
21)
)
x3 4 y5
1 8b 2 a 8
19)
)
x4y3
1
17)
2 0
−3
1 2x5
(2 x) −4
20)
x −1 ⋅ 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)
−3 −4 −2
2h j k
m3 16 p 2 q 2
h3j 4k2 2
Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC
Name___________________________________
More Properties of Exponents
Date________________ Period____
Simplify. Your answer should contain only positive exponents. −2 −3 4
1) ( x x
)
2) ( x
3
3) (n 3 ) ⋅ 2n −1
2 4
5)
3 x −3 y 2
3 3
7)
9)
11)
x y ⋅x
(2m 2) −1
3
3
6)
2 y ⋅ 3x y 3x2 y4
2 2
8)
10)
12)
m2
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4
2
x
(2 x 0) 2
⋅ 2x
2
3
4x2
)
4) (2v) ⋅ 2v
2 4
2x y ⋅ 4x y ⋅ 3x
4 −3
-1-
3x y
2 x −1 ⋅ 4 y x 2
2m −4
(2m −4 ) 3
2x3
( x −1 ) 3
Worksheet by Kuta Software LLC
−3 −3 0
13) (a b
)
15) ba ⋅ (2ba 4
3
17)
2k ⋅ k k
19)
21)
14) x y ⋅ (2 y 4 3
4 −3
)
0 2 −3
16) (2 x y
2
18)
−3
20)
x −1 ⋅ x
)
⋅ 2 yx
3
( x −3 ) 4 x 4 2x
(2 x) −4
)
2 0
−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)
(2h j 2k −2 ⋅ h 4 j −1 k 4) 0 −3 −4 −2
2h j 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. −2 −3 4
1) ( x x
)
2) ( x
1 x 20
4 −3
)
⋅ 2x
2 x8
3
2
3) (n 3 ) ⋅ 2n −1
4) (2v) ⋅ 2v
2n 8
8v 4
2 4
5)
2 4
2x y ⋅ 4x y ⋅ 3x 3 x −3 y 2
3
6)
8x8y6
3 3
7)
x y ⋅x
3
2 y ⋅ 3x y
3
3x2 y4
4x2
2 2
8)
x
(2 x 0) 2
3x y
2 x −1 ⋅ 4 y x 2 3 xy 8
10)
2m −4
(2m −4 ) 3 m8 4
x 4
11)
2
2 y2 x
x4 y3 4
9)
4
(2m 2) −1
12)
m2
( x −1 ) 3 2x6
1 2m 4
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2x3
-1-
Worksheet by Kuta Software LLC
−3 −3 0
13) (a b
)
14) x y ⋅ (2 y 4 3
15) ba ⋅ (2ba 4
4 −3
)
0 2 −3
16) (2 x y
3
2k ⋅ k k
2
18)
−3
⋅ 2 yx
3
( x −3 ) 4 x 4 2x
2k 8
21)
)
x3 4 y5
1 8b 2 a 8
19)
)
x4y3
1
17)
2 0
−3
1 2x5
(2 x) −4
20)
x −1 ⋅ 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)
−3 −4 −2
2h j k
m3 16 p 2 q 2
h3j 4k2 2
Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com
©c e2Q0c1S1b qKfuMtpac 1SIoCfxtKwIaFr1ez wLbL1CF.2 n EA6lRl4 GrwiZgVh6tjsG 7r8e9sYeKravHe1dX.l F FM4a4dweh 0wUi2tBhu 9IcnOf8iKnOiXtoeG 0AdlkgoeDbHrJab W1w.V
-2-
Worksheet by Kuta Software LLC
