Properties of Exponents - Kuta Software

[Pages:4]Kuta Software - Infinite Algebra 1

Name___________________________________

Properties of Exponents

Date________________ Period____

Simplify. Your answer should contain only positive exponents.

1) 2m2 2m3

2) m4 2m-3

3) 4r-3 2r2

4) 4n4 2n-3

5) 2k4 4k

6) 2x3 y-3 2x-1 y3

7) 2 y2 3x

8) 4v3 vu2

9) 4a3b2 3a-4b-3

10) x2 y-4 x3 y2

11) (x2)0

12) (2x2)-4

13) (4r0)4

14) (4a3)2

15) (3k4)4

16) (4xy)-1

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Worksheet by Kuta Software LLC

17) (2b4)-1 ( ) 19) 2x4 y-3 -1

r2 21)

2r3 3n4 23) 3n3 3m -4 25) m3 4x0 y-2z3 27)

4 x 4m4n3 p3 29) 3m2n2 p4

( ) 18) x2 y-1 2

20) (3m)-2

x-1 22)

4x4 m4 24) 2m4 2x4 y-4z-3 26) 3x2 y-3z4 2h3 j -3k4 28)

3 jk 3x3 y-1z-1 30) x-4 y0z0

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1

Name___________________________________

Properties of Exponents

Date________________ Period____

Simplify. Your answer should contain only positive exponents.

1) 2m2 2m3 4m5

2) m4 2m-3 2 m

3) 4r-3 2r2 8 r

5) 2k4 4k 8k5

4) 4n4 2n-3 8 n

6) 2x3 y-3 2x-1 y3 4x2

7) 2 y2 3x 6 y2x

8) 4v3 vu2 4v4u2

9) 4a3b2 3a-4b-3 12 ab

11) (x2)0

1

13) (4r0)4

256

10) x2 y-4 x3 y2 x5 y2

12) (2x2)-4

1 16x8

14) (4a3)2

16a6

15) (3k4)4

81k16

16) (4xy)-1

1 4 xy

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Worksheet by Kuta Software LLC

17) (2b4)-1

1 2b4

( ) 19) 2x4 y-3 -1

y3 2x4

r2 21)

2r3 1 2 r

3n4 23)

3n3 n

3m -4 25)

m3 3 m7

( ) 18) x2 y-1 2

x4 y2

20) (3m)-2

1 9m2

x-1 22)

4x4 1

4x5

m4 24)

2m4 1 2

2x4 y-4z-3 26)

3x2 y-3z4 2x2 3 yz7

4x0 y-2z3 27)

4 x

z3 y2x

2h3 j -3k4 28)

3 jk

2h3k3 3 j4

4m4n3 p3 29)

3m2n2 p4 4m2n

3 p

3x3 y-1z-1 30)

x-4 y0z0 3x7 yz

Create your own worksheets like this one with Infinite Algebra 1. Free trial available at

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Worksheet by Kuta Software LLC

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