Algebra 2
Name___________________________________
Rational Exponents Practice Test
Date________________ Period____
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Write each expression in radical form.
1) (10a)
3) x
4
5
2) (6 p)
5
2
4) k
4
3
1
2
Write each expression in exponential form.
5)
( 4 n )5
7)
3
6)
7x
8)
r
(
7m )
3
Simplify.
9) (64n
3
4 2
11) (243r
13)
15)
4
10) (8r
)
3
5 5
)
12) (r
384 x 3 yz
14)
96 x 4 y 2 z 2
16)
4
6 3
)
3
4 2
)
5
−256 xy 4 z 4
3
750m 8 p 4 q 6
Simplify. Your answer should contain only positive exponents with no fractional exponents in the
denominator.
3
4
−2
17) 2 x y ⋅ 2 y ⋅ 2 x
19) y
−1
2
1 3
2
⋅ ( yx )
−
1
3
21)
(b )
5
4
2
a b
−
⋅a
−
5
3
−
20) ba
22)
b
3
2
3
2
−1
−2
1
2
18) 4a b ⋅ 3b
3
2
⋅a
1
4
1
2
4
3 3
2
( )
⋅ b
−
(x y )
0
3
2
4
1
2
−1
5
4
x y ⋅x y
−
7
4
Solve each equation.
5
3
23) b − 9 = 1015
2
3
25) 1 + 4 x = 101
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24) 12 = 2(v + 22)
1
2
3
4
26) b + 7 = 15
Worksheet by Kuta Software LLC
Algebra 2
Name___________________________________
Rational Exponents Practice Test
Date________________ Period____
©7 L2m001K4h gKduZtPaV 1SiodfktPwOaOrJe3 9LpLtCL.Z 2 QAvlmlA frXilgHhltesk SrFeEsCeErUvrerdr.t
Write each expression in radical form.
1) (10a)
3) x
5
2
4
5
5
(
(
10a )
4
2) (6 p)
5
x)
4) k
4
3
( 3 6 p )4
1
2
k
Write each expression in exponential form.
5)
(
7)
4
3
5
n) n
5
4
7 x (7 x)
6)
1
3
8)
r r
(
1
2
7m )
3
(7m)
3
2
Simplify.
9) (64n
3
4 2
11) (243r
3
5 5
27r
)
10) (8r
3
12) (r
384 x 3 yz 8 x 6 xyz
13)
15)
512n
)
6
4
14)
4
96 x 4 y 2 z 2 2 x 6 y 2 z 2
16)
4
6 3
)
3
4 2
16r 8
r6
)
5
−256 xy 4 z 4 −2 8 xy 4 z 4
5
3
750m 8 p 4 q 6 5m 2 pq 2
3
6m 2 p
Simplify. Your answer should contain only positive exponents with no fractional exponents in the
denominator.
3
4
−2
2
8y
2
3
1
3
17) 2 x y ⋅ 2 y ⋅ 2 x
2
1 3
2
( )
19) y −1 ⋅ y x
−
1
3
21)
(b )
5
4
a b
−
3
2
⋅a
1
4
y x
y
⋅a
−
5
3
b
−2
1
2
20) ba
b a
a
1
2
18) 4a b ⋅ 3b
−
7
4
−1
7
4
5
12
3
2
3
2
22)
3
2
12a b
4
3 3
2
( )
⋅ b
−
(x y )
0
1
2
4
3
b a
a2
1
2
x y ⋅x y
−
1
2
3
4
−1
5
4
9
2
y
x2
7
4
Solve each equation.
5
3
23) b − 9 = 1015
2
3
25) 1 + 4 x = 101
{64}
{125, −125}
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24) 12 = 2(v + 22)
3
4
26) b + 7 = 15
1
2
{14}
{16}
Worksheet by Kuta Software LLC