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Kuta Software - Infinite Algebra 2
Name___________________________________
Rational Exponent Equations
Date________________ Period____
Solve each equation.
1) 27 = x
−
3) x
3
2
3
2
3
4
2) m = 27
1
=
729
5
4
5) v = 243
3
2
7) (n − 27) = 64
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4) 7 = r
1
2
3
2
6) n = 125
8) 26 = −1 + (27 x)
-1-
3
4
Worksheet by Kuta Software LLC
9) 3125 = (−1 − 18 p)
−
11) 4b
3
4
5
3
−
10) 5 = 3 + 4a
1
6
3
2
21
+ 10 =
2
12) − x = −27
13) −54 = 10 − (m − 10)
3
2
14) −5126 = −6 − 5(3 x + 22)
3
15) 9 + 5 2m = 29
16) 3646 = 1 + 5(4r + 17)
3
2
17) −646 = −3(65 − n) + 2
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5
3
3
2
5
4
18) −3 + (8 − 2 x) = 29
-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Rational Exponent Equations
Date________________ Period____
Solve each equation.
1) 27 = x
3
2
3
4
2) m = 27
{9 }
−
3) x
3
2
{81}
1
=
729
4) 7 = r
1
2
{49}
{81}
5
4
5) v = 243
3
2
6) n = 125
{81}
{25}
3
2
7) (n − 27) = 64
8) 26 = −1 + (27 x)
{43}
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3
4
{3 }
-1-
Worksheet by Kuta Software LLC
9) 3125 = (−1 − 18 p)
5
3
−
10) 5 = 3 + 4a
{−7}
−
11) 4b
3
4
1
6
{64}
3
2
21
+ 10 =
2
12) − x = −27
{9 }
{16}
13) −54 = 10 − (m − 10)
3
2
14) −5126 = −6 − 5(3 x + 22)
{26}
5
3
{14}
3
15) 9 + 5 2m = 29
16) 3646 = 1 + 5(4r + 17)
{32}
3
2
{16}
3
2
17) −646 = −3(65 − n) + 2
5
4
18) −3 + (8 − 2 x) = 29
{29}
{−4}
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-2-
Worksheet by Kuta Software LLC