Radicals and Rational Exponents - Kuta Software LLC

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Radicals and Rational Exponents Date_____ Period____ 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
Kuta Software - Infinite Algebra 2

Name___________________________________

Radicals and Rational Exponents

Date________________ Period____

Write each expression in radical form. 1) 7

3) 2

5) 6

1 2

2) 4

5 3

4) 7

3 2

6) 2

4 3

4 3

1 6

Write each expression in exponential form. 7)

(

9)

( 4 2 )5

11)

10 )

3

3

8)

10)

2

12)

6

2

( 4 5 )5

6

10

Write each expression in radical form. −

13) (5 x)

15) (10n)

5 4

3 2

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14) (5 x)

16) a

-1-

1 2

6 5

Worksheet by Kuta Software LLC

17) (6v)

1.5

1 2



18) m

Write each expression in exponential form. 19)

21)

23)

( 4 m )3

4

v

( 3 3a ) 4

20)

( 3 6 x )4

22)

6p

24)

1

(

3k )

5

Simplify. 25) 9

1 2



26) 343

27) 1000000

29) ( x

1 6

1 6 2

)

31) (64n

3 2

30) (9n

− 12

28) 36

)

1 6

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1 4 2

)

32) (81m

-2-

4 3

1 6 2

)

Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Radicals and Rational Exponents

Date________________ Period____

Write each expression in radical form. 1) 7

1 2

2) 4

4 3

( 3 4 )4

7

3) 2

5) 6

5 3

4) 7

4 3

( 3 2 )5

( 3 7 )4

3 2

1 6

6) 2

(

6)

6

3

2

Write each expression in exponential form. 7)

(

10 ) 10

9)

3

8)

3 2

11)

3

2

2 2

( 4 2 )5 2

6

10)

5 4

( 4 5 )5 5

2

12)

1 3

1 6

5 4

6

10

10

1 6

Write each expression in radical form. −

13) (5 x)

5 4



14) (5 x)

1

1

( 4 5 x )5 15) (10n)

(

1 2

5x

3 2

10n )

16) a

( 5 a )6

3

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6 5

-1-

Worksheet by Kuta Software LLC

17) (6v)

(

1.5

1 2



6v )

18) m

3

1 m

Write each expression in exponential form. 19)

( 4 m )3 m

21)

4

v 23)

20)

3 4

( 3 6 x )4 (6 x)

6p

22)

v 1 4

4 3

(6 p)

( 3 3a ) 4 (3a)

24)

4 3

1 2

1

(

3k ) −

(3k)

5

5 2

Simplify. 25) 9

1 2



26) 343

1 2401

3

27) 1000000

1 6

28) 36

10

29) ( x

4 3

3 2

216

1 6 2

)

30) (9n

x3

)

3n 2



31) (64n

1 4 2

12

)

1 6

32) (81m

1 2n 2

1 6 2

)

9m 3

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-2-

Worksheet by Kuta Software LLC