Simplifying Rational Exponents - Kuta Software

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Kuta Software - Infinite Algebra 2
Name___________________________________
Simplifying Rational Exponents
Simplify.
Date________________
Period____
3
1) (n 4 2
)
5
2) (27p 6 3
)
3) (25b 6 ) −1.5 4) (64m 4 )
3
2
3
5) (a 8 2
)
6) (9r 4 ) 0.5
7) (81x 12 ) 1.25 8) (216r 9 )
1
3
Simplify. Your answer should contain only positive exponents with no fractional exponents in the
denominator.
3
9) 2m 2 ⋅ 4m
2 ⋅ 4m −2 10) 3b
2 ⋅ b
1
4
3
11) ( p
3
2 ) −2 12) ( a
1
2 ) 3 2

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13) 2x − 7 4
4x
4
3
14) 4x2
2x
1
2
15) 3x − 12 ⋅ 3x
− 7 4
3y
1
2 y− 1 3
16)
3y
1
4
3 1
2
4x− 23 y
2 ⋅ 3y
17) ( m ⋅ m −2 n
5
1
3 ) 2 18) ( a −1 b
3 − 43
⋅ a b ) 2
2
19)
(x
yx
1
2 y −2
− 7 4
)4
20)
3
(x 3 y 2 2
)
( x −1 − 2 3
y ) 1 4
(
− 12
x y ) − 5 4
2
21)
x 2 y
1
2
22)
( x
− 12 y 4 ) 1 4
x
2 3
3 y
2 ⋅ x
− 32 1
2
y

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Kuta Software - Infinite Algebra 2
Simplifying Rational Exponents
Simplify.
3
1) (n 4 2
)
n 6 2) (27p 6 )
Name___________________________________
5
3
243 p 10
Date________________
Period____
3) (25b 6 ) −1.5
4) (64m 4 )
1
125b 9 512m 6
3
2
3
6) (9r 4 ) 0.5
5) (a 8 2
)
3r 2
a 12
7) (81x 12 ) 1.25
243x 15 8) (216r 9 )
6r 3
1
3
Simplify. Your answer should contain only positive exponents with no fractional exponents in the
denominator.
9) 2m 2 ⋅ 4m
2 ⋅ 4m −2
32m
3
2
3
1
10) 3b
2 ⋅ b
3b
11
6
4
3
11) ( p
3
2 ) −2
1
12) ( a
1
p 3 3
a
2 ) 3 2
4

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13) 2x − 7 4
4x
x
4
3
11
12
2x 4
14) 4x2
2x
2x
1
2
3
2
15) 3x − 12 ⋅ 3x
3y
17
12
− 7 4
3y
1
2 y− 1 3
16)
3y
1
4
3 1
2
4x− 23 y
2 ⋅ 3y
x
2 1
3 4
y
4y 2
17) ( m ⋅ m −2 n
n
10
3
m 2
5
3 ) 2
1
18) ( a −1 b
3 − 43
⋅ a b ) 2
2
a
1 14
3 3
b
a 5
19)
1
)4
2 y −2
20)
− 7 4
x 9
y 12
(x
yx
3
(x 3 y 2 2
)
( x −1 − 2 3
y ) 1 4
y
19 19
6 4
x
(
− 12
x y ) − 5 4
2
21)
−
( 12 x y ) 1 4
4
22)
1
2 3
x 2 2
y
x
3 y
2 ⋅ x
5
17
8
24
x
x
y 3 x 2 y
− 32 1
2
y
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