Algebra 2: Exponent Practice Worksheet
Simplify the following problems as much as possible so that your answer uses only positive exponents.
1.
( kn ) v 2
 5
2.
x
2
( y
3
)
0 3.
32
8
 1
 1
4.
 a
3

2
0 b b

3
2
5.
5 a x
2

3 y

3 b
4
6. ( 2 x
2 y
3
)(

5 x

2 y
7
) 7. ( 2 acd )
3
( 3 cda ) 8.
( 2 y
2
1 z )

3
9.


2 vq
6 qv
3



2
10.
( 5 a
2
)( 6 p
3
)
( 2 a
3
)( 5

1 p )

2
11.
4 x
2 x
5
3
5

2 t
4 u

3
12. (
 k

4 m
7
)( 3 k
5 m

1
)( 2 k

2 m ) 13. (
 zy

3
)
2
( 4 z
6 y
9
)

2 14. t

7 u
6
5 x
2 a

3 b
4
( 2 x
2 y
3
)(

5 x

2
)
7.
( 2 acd )
3
( 2 y
2

Algebra 2: Exponent Practice Worksheet
Simplify the following problems as much as possible so that your answer uses only positive exponents.
1.
( kn )  5 v 2
2.
x
2
( y
3
)
0 3.
32
8
 1
 1
4.
 a
3

2
0 b b
2

3
5. y

3
6. y
7
( 3 cda )
8.
1 z )

3
9.


2 vq
6 qv 3



2
10.
( 5 a
2
)( 6
( 2 a
3
)( 5

1 p
3
) p )

2
11.
4 x
2 x
5
3
12.
(
 k

4 m
7
)( 3 k
5 m

1
)( 2 k

2 m )
13.
(
 zy

3
)
2
( 4 z
6 y
9
)

2 14.
5

2 t
4 u

3 t

7 u
6


For the following problems, use what you know about rational exponents to simplify as much as possible and/or find the value of each root.
15.
5
4 2
16.
2
3 17.
1
625 5
18.
1
1
3
19.

1
 8
 x 4

20.
1
(16
4 12 18 a b c d )
21.
1 1
2
4 ab a b 6
22.
1

2 4
3
2
3 x y z 2
3
For the following problems, use what you know about rational exponents to simplify as much as possible and/or find the value of each root.
15.
5
4 2
16.
2
3 17.
1
625 5
18.
1
1
3
19.

1
 8
 x 4

1
20. (16
4 12 18 a b c d ) 21.
1 1
2
4 ab a b 6
1

2 4
22.
3
2
3 x y z 2
3