Properties Of Exponents

  • May 2020
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Kuta Software - Infinite Algebra 1

Name___________________________________

Properties of Exponents

Date________________ Period____

Simplify. Your answer should contain only positive exponents. 1) 2m 2 ⋅ 2m 3

3) 4r

−3

⋅ 2r

2) m 4 ⋅ 2m −3

2

4

4) 4n ⋅ 2n

−3

5) 2k 4 ⋅ 4k

6) 2 x 3 y −3 ⋅ 2 x −1 y 3

7) 2 y 2 ⋅ 3 x

8) 4v 3 ⋅ vu 2

3 2

−4 −3

9) 4a b ⋅ 3a b

2 11)  x 

3 2

⋅x y

2 12)  2 x 

−4

4

3 14)  4a 

2

4

16) (4 xy)

0

0 13)  4r 

2 −4

10) x y

4 15)  3k 

-1-

−1

4 17)  2b 

−1

2 −1 18)  x y 

4 −3 19)  2 x y 

21)

r

25)

22)

3

3n

4

3n

3

3m m

24)

−4

26)

−1

4x

4

m

4 4

2x y z

2 −3 4

3x y z

0 −2 3

4 3

3

2 2

4

3m n p

−2

4 −4 −3

3

4m n p

x

2m

4x y z 27) 4x

29)

20) (3m)

2

2r

23)

−1

2

3 −3 4

2h j k 28) 3 jk

3 −1 −1

30)

3x y z

−4 0 0

x yz

-2-

Kuta Software - Infinite Algebra 1

Name___________________________________

Properties of Exponents

Date________________ Period____

Simplify. Your answer should contain only positive exponents. 2

1) 2m ⋅ 2m

3

4

2) m ⋅ 2m

4m 5

3) 4r

−3

2m

⋅ 2r

2

4

4) 4n ⋅ 2n

−3

8n

8 r 5) 2k 4 ⋅ 4k

6) 2 x 3 y −3 ⋅ 2 x −1 y 3

8k 5

4x2

2

3

7) 2 y ⋅ 3 x

8) 4v ⋅ vu

6 y 2x

2

4v 4 u 2

3 2

−4 −3

9) 4a b ⋅ 3a b

2 −4

10) x y

3 2

⋅x y

x5 y2

12 ab 2 11)  x 

−3

0

2 12)  2 x 

1

0 13)  4r 

−4

1 16 x 8 4

3 14)  4a 

16a 6

256

4 15)  3k 

2

4

16) (4 xy) 1 4 xy

81k 16

-1-

−1

4 17)  2b 

−1

2 −1 18)  x y 

x4 y2

1 2b 4 4 −3 19)  2 x y 

−1

20) (3m)

r

2

2r

22)

3

3n

4

3n

3

4

24)

m

4

2m

4

1 2

3m m

−4

4 −4 −3

26)

3

0 −2 3

3 −3 4

2h j k 28) 3 jk

z3 y 2x

2h 3 k 3 3 j4

4 3

3

2 2

4

3m n p

2 −3 4

2x2 3 yz 7

4x y z 27) 4x

4m n p

2x y z

3x y z

3 m7

29)

−1

1 4x5

n

25)

x

4x

1 2r

23)

−2

1 9m 2

y3 2x4

21)

2

3 −1 −1

30)

3x y z

−4 0 0

x yz

4m 2 n 3p

3x7 yz

-2-

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