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Kuta Software - Infinite Algebra 2 Name___________________________________

  Period____Date________________Radicals and Rational Exponents

Write each expression in radical form.

1) 7

1

22) 4

4

3

3) 2

5

34) 7

4

3

5) 6

3

26) 2

1

6

Write each expression in exponential form.

7) ( 10)3 8)6

2

9) ( 4

2)5 10) ( 4

5)5

11)3

2 12)6

10

Write each expression in radical form.

13) (5 x)

−5

4 14) (5 x)

−1

2

15) (10n)3

216) a

6

5

-1-

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17) (6v)1.5

18) m−1

2

Write each expression in exponential form.

19) ( 4

m )3 20) ( 3

6 x )4

21)4

v 22) 6 p

23) (3

3a)4

24)1

( 3k )5

Simplify.

25) 9

1

226) 343

−4

3

27) 1000000

1

628) 36

3

2

29) ( x6)1

230) (9n4)

1

2

31) (64n12)−1

632) (81m6)

1

2

-2-

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1K3uGt1aW MSBoKf BtYwlaurxeL iLMLMC3.6 x dAbl0lu arviMgAhGt jsX Frde7s9eMrbv jeAdY.y E 1MHaXdmep MwviRtRhS KIKn5f  jiAnYiFt6eR aAhlFgCeob5rxaf  n2P.2 Worksheet by Kut

Kuta Software - Infinite Algebra 2 Name___________________________________

  Period____Date________________Radicals and Rational Exponents

Write each expression in radical form.

1) 7

1

2

7

2) 4

4

3

(3

4)4

3) 2

5

3

( 3

2)5

4) 7

4

3

( 3

7)4

5) 6

3

2

( 6)3

6) 2

1

6

6

2

Write each expression in exponential form.

7) ( 10)3

10

3

2

8)6

2

2

1

6

9) ( 4

2)5

2

54

10) ( 4

5)5

5

54

11)3

2

2

1

3

12)6

10

10

1

6

Write each expression in radical form.

13) (5 x)

−5

4

1

( 4

5 x )5

14) (5 x)

−1

2

1

5 x

15) (10n)3

2

( 10n)3

16) a

6

5

( 5

a)6

-1-

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17) (6v)1.5

( 6v )318) m

−1

2

1

m

Write each expression in exponential form.

19) ( 4

m )3

m

3

4

20) ( 3

6 x )4

(6 x)4

3

21)4

v

v

1

4

22) 6 p

(6 p)1

2

23) (3

3a)4

(3a)4

3

24)1

( 3k )5

(3k )−5

2

Simplify.

25) 9

1

2

3

26) 343

−4

3

1

2401

27) 1000000

1

6

10

28) 36

3

2

216

29) ( x6)1

2

 x3

30) (9n4)1

2

3n2

31) (64n12)−1

6

1

2n2

32) (81m6)1

2

9m3

2

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