Free Printable fractional Exponents

1.

Rewrite the following expression

a)

4^1/2

b)

4

c)

1

d)

4^2/4

2.

Re-write the expression in radical form.
x^2/3

a)

(∛x)²

b)

√x³

c)

(1/x)

d)

∛x

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

What is the value of 27^⅓?

a)

27

b)

9

c)

3

d)

1/3

6.

Simplify:

a)

2

b)

8

c)

16

d)

32

7.

Simplify the following expression:

a)

16

b)

32

c)

40

d)

64

8.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

9.

Simplify:

a)

2

b)

4

c)

16

d)

64

10.

Simplify x²y^-5

a)

x²/y⁵

b)

1/x²y⁵

c)

y⁵/x²

d)

x²/y^-5

11.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

12.

Write with positive exponents:

a)

a^-2

b)

a²

c)

1/a¹

13.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

14.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

15.

Find the value:
x²^.y^{3 .} y⁸ ^. x⁵

a)

x⁷y³

b)

x⁵y³

c)

x⁷y¹¹

16.

Solve^:49^1/2

a)

24.5

b)

9

c)

0

d)

7

17.

Solve:
5^-7

a)

5^-7

b)

-135

c)

75i

d)

1/5⁷

18.

Simplify:
64^2/3

a)

16

b)

512

c)

42.667

d)

4

19.

Write in exponential form
∛x⁷

a)

x⁷∕ ³

b)

x3⁄7

c)

3x⁷

d)

7x³

20.

Write as a radical expression
y²⁄ ³

a)

2y³

b)

√y³

c)

∛y²

d)

3y²

21.

Write as a radical expression
y¹⁄ ³

a)

∛y

b)

y³

c)

√y

d)

1∕ 3y

22.

Select all that are equivalent

a)

3 • b • ⁶√b⁵

b)

3b^6/11

c)

(3b)^11/6

d)

3b^11/6

e)

¹¹√3b⁶

23.

.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

a)

A

b)

B

c)

C

d)

D

26.

a)

A

b)

B

c)

C

d)

D

27.

What is the value of 27^⅓?

a)

27

b)

9

c)

3

d)

1/3

28.

Simplify:

a)

2

b)

4

c)

16

d)

64

29.

Simplify x²y^-5

a)

x²/y⁵

b)

1/x²y⁵

c)

y⁵/x²

d)

x²/y^-5

30.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

31.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

32.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

33.

2^-1 = ?

a)

-2

b)

1 / 2

c)

1

34.

8^1/3 = ?

a)

2.666

b)

2

c)

8.333

35.

1/9 equals 3 raised to what power?

a)

-2

b)

2

c)

1/2

d)

-1/2

36.

Simplify:

a)

2

b)

8

c)

16

d)

32

37.

Solve

a)

8

b)

38

c)

34

d)

14

38.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

39.

Write with positive exponents:

a)

a^-2

b)

a²

c)

1/a¹

40.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

41.

Simplify
(x²⁄ ³)²⁄ ⁵

a)

x⁴∕ ¹⁵

b)

x¹⁶∕ ¹⁵

c)

x⁶

d)

6x

42.

Simplify:
x⁻ ¹⁄ ² ⋅ x⁻¹⁄ ⁴

a)

-x¹∕ ⁶

b)

x ³∕ ⁴

c)

1∕ x³⁄⁴

d)

x¹∕ ⁸

43.

a)

b)

c)

d)

44.

a)

b)

c)

d)

45.

a)

b)

c)

d)

46.

Which of these are equivalent?

a)

w^1/4• w^1/5

b)

w^1/20

c)

w^9/20

d)

w^4/5

e)

(w^0.25)^0.2

47.

a)

a

b)

b

c)

c

d)

d

e)

e

48.

Select all that are equivalent

a)

3 • b • ⁶√b⁵

b)

3b^6/11

c)

(3b)^11/6

d)

3b^11/6

e)

¹¹√3b⁶

49.

Who sings N.O

a)

BTS

b)

Steave Aoki

c)

Sistar

50.

Who is the Best Basketball player in the NBA ever?

a)

Brian Scalbrine

b)

Steph Curry

c)

Lebron James

d)

Michael Jordan

51.

What are the top two teams in the LaLiga?

a)

FC Barcelona, Real Madrid

b)

Manchester United, Bayern Munich

c)

FC Barcelona, Athletíco Madrid

d)

Real Madrid, Liverpool

52.

Who is this soccer player?

a)

lionel messi

b)

cristiano ronaldo

c)

Paul Aguilar

d)

Hirving Lozano

53.

Which is the largest ocean?

a)

Pacific Ocean

b)

Atlantic Ocean

c)

Indian Ocean

54.

The only number that has the same number of letters as its meaning

a)

4

b)

2

c)

5

d)

0

55.

He's the most famous character in video game history, and the official mascot for Nintendo.

a)

Sonic the Hedgehog

b)

Crash Bandicoot

c)

Mario

d)

Master Chief

56.

Which is the largest fish in the ocean?

a)

Goliath Grouper

b)

Blue Whale

c)

Whale Shark

d)

Great White Shark

57.

Which country is the largest in South America?

a)

Mexico

b)

Argentina

c)

Peru

d)

Brazil

58.

Which of the following actors NEVER played James Bond?

a)

Roger Moore

b)

Daniel Craig

c)

Sean Connery

d)

Tom Cruise

59.

What is the name of the most popular video game of all time?

a)

Donkey Kong

b)

Need For Speed

c)

Mario Bros.

d)

Pac-Man

60.

What Country is located at the southern most part of Africa?

a)

Sudan

b)

Ethiopia

c)

Kenya

d)

South Africa

61.

An elephant has wings to fly.

a)

TRUE

b)

FALSE

62.

A monkey can swing from tree to tree.

a)

TRUE

b)

FALSE

63.

It's...

a)

a bear.

b)

an elephant.

c)

a sheep.

d)

a zebra.

64.

This is ...

a)

a lion.

b)

a zebra.

c)

a bear.

d)

a crocodile.

65.

Who is this?

a)

Muhammad Ali

b)

Wilt Chamberlain

c)

Nelson Mandela

d)

Arthur Ashe

66.

What is it?

a)

rice

b)

carrot

c)

milk

d)

potato

67.

What is it?

a)

potato

b)

peach

c)

tomato

d)

pear

68.

Who is this

a)

Itachi

b)

Natsu

c)

Broly

d)

Shion

69.

What anime is this

a)

Attack on Titan

b)

Fairy Tail

c)

Higurashi

d)

Pokemon

70.

Name the charecter

a)

Link

b)

Zelda

c)

Mario

d)

Rob

71.

18 x 3

a)

24

b)

64

c)

54

d)

44

72.

12 x 9

a)

108

b)

98

c)

118

d)

112

73.

12 x 11

a)

121

b)

131

c)

132

d)

120

74.

6 X 7

a)

42

b)

36

c)

48

d)

41

75.

14 x 3

a)

44

b)

42

c)

54

d)

52

76.

18 x 2

a)

48

b)

36

c)

34

d)

38

77.

35 x 4 =

a)

125

b)

140

c)

160

d)

135

78.

24 x 6 =

a)

136

b)

144

c)

152

d)

149

fractional Exponents

Total questions: 78

Worksheet time: 1hrs 12mins

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