Radicals and Rational Exponents - Kuta Software LLC

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

©a X2T0I1q2a pKhuRtaa0 lSAojf2tjw6a2rkeE rLxLZCg.W A 4Akl2ll 0rwiVgChPtlso hrSemsTeurOvZeqdp.7 o oMia2dKeK 7wLijtuhF AIUnNf4iBnyi0t2eU GAHlGgBe4blrGaj n2y.i

−

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

©P F2Q011P21 rKDuUtoaN rSQoqfft8wGarrQes 3LILsC6.E j dAkldl0 XrCilgFhEtTsS KrseksWeJrhvFexdS.u Y BMjajdYe7 RwZigtUhB RIUnJfSiNn5iatzeO mAil2gVewb2rNaM 22U.g

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

©J B2u0r1D2s 1K3uGt1aW MSBoKfBtYwlaurxeL iLMLMC3.6 x dAbl0lu arviMgAhGtjsX Frde7s9eMrbvjeAdY.y E 1MHaXdmep MwviRtRhS KIKn5fjiAnYiFt6eR aAhlFgCeob5rxaf n2P.2

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

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

©l P2R0a1I2E SKluatZaK 3SEowfZt9wUaurueS pLnLwCP.b 7 OAmlxlT QrIiJgKh5tqsj arjeLsteWrWvFeJdf.9 p VMRaxdJe0 5wviptnhY RIUnKfriWn7i1tHe1 4A7lzgdecb9rDad q22.T

-2-

Worksheet by Kuta Software LLC