Unit 2 Power and Rational Exponents
Name___________________________________
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Worksheet 2
Date________________
Simplify.
1) ( x
5
9 3
-
)
3) (81x
2) (b
3
2 2
)
-
5) (16k
7) (n
4
)
2
12 3
)
9) (25x
3
6 2
)
1
2
8
)
5
4
4) (64x
3
6) (81x
6
-
4
3
-
3
2
)
)
8) (1000000b
10) (27n
1
12 6
)
4
3 3
)
Worksheet by Kuta Software LLC
-1-
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Write each expression in radical form.
11) (3x)
13) v
1
2
12) (5x)
1
2
14) (6a)
15) (2k)
2
3
1
2
2
3
Simplify. Your answer should contain only positive exponents with no fractional exponents in
the denominator.
3 2
4 3
-1
16) 4m n × 4m n
-
18) yx
20)
2ba
7
4
× x y
-1
5 2
4
( )
1
2
3
2
1
4
× 3a b
-
17) 2x y × 2x
2
3
1
2
5
4
y × 3x y
5
3
1 1 4
4 2
( ) ×a
19) a b
3 1
2 4
5 5
3 3
3
2
3
2
21)
x y
-
a b
x × 4x
1
4
4
3 -2
y
Worksheet by Kuta Software LLC
-2-
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22) ( x y )
5
4 0
1
4
-
23) ( x y )
2
0 3
4
3
Write each expression in exponential form.
24)
26)
( 6 a )5
25)
1
(
4
2x )
5
3
28)
2x
v)
3
30)
(
32)
( 5 10v ) 6
27)
3
6k
1
(
3
4b )
29)
n
31)
( 3 a)4
33)
2
1
3
3k
Worksheet by Kuta Software LLC
-3-
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