Free Printable Negative Exponents

1.

3⁻⁴

a)

1 ⁄ 81

b)

-81

c)

81

d)

1 ⁄ 12

2.

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

3.

2^-1

a)

1/2

b)

1/1

c)

-1/1

d)

-1/2

4.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

5.

Solve 3^-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

6.

Solve (-8)^-2

a)

1/(-8)²

b)

1/8

c)

1/64

d)

-64

7.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

8.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

9.

Simplify x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

10.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

11.

Write the following in standard form:
10^-4

a)

10,000

b)

1000

c)

.0001

d)

.000001

12.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

13.

Rewrite using a positive exponent.
2w^-13

a)

-w¹³

b)

2/_w¹³

c)

2/_w^-13

d)

2w¹³

14.

Simplify (34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

15.

Write with positive exponents:

a)

a^-2

b)

a²

c)

1/a¹

16.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

17.

Simplify.
s^-5⋅ s^-2

a)

s^-3

b)

¹/_s⁷

c)

s^-7

d)

¹/_s³

18.

a)

6^-2

b)

1/6²

c)

1/36

d)

All of the above

19.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

20.

a)

w

b)

w^-1= 1/w

c)

-w

d)

w¹⁷

21.

$n^{-1}$

a)

$\frac{1}{n}$

b)

1

c)

$\frac{n}{1}$

d)

$n$

22.

Write each expression

using a positive exponent.

2^{-3}

a)

$\frac{1}{-6}$

b)

$\frac{1}{2^3}$

c)

$-\frac{1}{8}$

d)

$-\frac{1}{2^3}$

23.

Write the expression using a positive exponent.

m^{-4}

a)

$\frac{1}{m^4}$

b)

$-m^4$

c)

$\frac{1}{-m^4}$

d)

$\frac{1}{m^{-4}}$

24.

Evaluate (get a numeric answer)

17^0

a)

17

b)

0

c)

1

d)

-17

25.

Evaluate.

3^{-2}

a)

$-6$

b)

$\frac{1}{9}$

c)

$-9$

d)

$\frac{1}{6}$

26.

Write the expression using an exponent

\left(-4\right)\left(-4\right)\left(-4\right)\left(-4\right)\left(-4\right)

a)

$-4^5$

b)

$\left(-4\right)^4$

c)

$\left(-4\right)^5$

d)

$4^{-4}$

27.

Evaluate.

4^3

a)

64

b)

16

c)

12

d)

4

28.

Write the fraction using a negative exponent.

\frac{1}{64}

a)

$8^{-2}$

b)

$\left(-8\right)^2$

c)

$8^2$

d)

$\frac{1}{8^2}$

29.

Write the expression using a positive exponent.

\left(-2\right)^{-3}

a)

$\left(-2\right)^3$

b)

$\frac{1}{\left(-2\right)^3}$

c)

$2^3$

d)

$\frac{1}{2^3}$

30.

Evaluate the expression if
x = 3, y = –2, and z = 4.

$y^{-2}$

a)

$\frac{1}{4}$

b)

$-\frac{1}{4}$

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

31.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

32.

What is the square root of 361?

a)

90.25

b)

19

c)

130,321

d)

18

33.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

34.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

35.

Evaluate

a)

1/10

b)

-1/32

c)

1/32

d)

32

36.

Identify each value that is a perfect cube:

a)

27

b)

1,000

c)

90

d)

1

37.

Identify each value that is a perfect cube:

a)

27

b)

1,000

c)

90

d)

1

38.

Identify each value that is a perfect cube:

a)

300

b)

72

c)

525

d)

216

39.

Find the cube root of 729:

a)

9

b)

81

c)

243

40.

Find the cube root of 125:

a)

41.67

b)

25

c)

5

41.

Find the cube root of -1,331:

a)

-121

b)

-11

c)

-443.67

42.

What is 2 cubed?

2³

a)

8

b)

6

c)

4

d)

16

43.

What is 5 cubed?

5³

a)

125

b)

25

c)

15

d)

625

44.

What is 36 cubed?

36³

a)

46,656

b)

108

c)

1,296

d)

12

45.

The number 512 is a perfect cube because 512 = 8³.

Which number below is also a perfect cube?

a)

125

b)

300

c)

150

d)

256

46.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

47.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

48.

∛8

a)

2

b)

4

c)

1

d)

64

49.

∛125

a)

5

b)

4

c)

6

d)

7

50.

∛1000

a)

10

b)

9

c)

8

d)

11

51.

A cube with side length s has a volume of 64 cubic units. What is the length of the side of the cube?

a)

32 units

b)

16 units

c)

8 units

d)

4 units

52.

$\sqrt[3]{8}$

(a)

53.

3³ =

a)

9

b)

27

c)

15

54.

6³ =

a)

18

b)

216

c)

36

55.

7³ =

a)

49

b)

21

c)

343

56.

8³ =

a)

24

b)

64

c)

512

57.

10³ =

a)

1,000

b)

100

c)

30

58.

∛343 =

a)

9

b)

8

c)

7

59.

∛512 =

a)

8

b)

25

c)

15

60.

includes integers, fractions, terminating and repeating decimals.

a)

Rational Numbers

b)

Irrational Numbers

61.

.141414141414...

a)

Rational

b)

Irrational

62.

pi - 3.141592....

a)

Rational

b)

Irrational

63.

√2

a)

Rational

b)

Irrational

64.

√7

a)

Rational

b)

Irrational

65.

√25

a)

Rational

b)

Irrational

66.

4π

a)

rational

b)

irrational

67.

-√4

a)

rational
irrational

b)

rational

68.

a)

D, C, A, B

b)

D, A, B, C

c)

D, B, C, A

d)

A, C, B, D

69.

What is the exponent form for the factors
5 x 5 x 5?

a)

3⁵

b)

5³

70.

a)

7 and 8

b)

8 and 9

c)

17 and 18

d)

35 and 36

71.

a)

M

b)

N

c)

O

d)

P

72.

a)

F

b)

G

c)

H

d)

J

73.

Which number is between 7 and 8?

a)

√7

b)

√42

c)

√59

d)

√68

74.

Put in order of least to greatest.
√5, 3, 2½, √8

a)

3, 2½, √8, √5

b)

2½, 3, √5, √8

c)

√5, 3, 2½, √8

d)

√5, 2½, √8, 3

75.

Which of these is an example of a terminating decimal?

a)

1⁄2

b)

1⁄3

c)

2⁄3

d)

1⁄7

76.

Select the irrational numbers

a)

$\sqrt{50}$

b)

2

c)

$\pi$

d)

2.3454128904

77.

includes integers, fractions, terminating and repeating decimals.

a)

Rational Numbers

b)

Irrational Numbers

78.

.141414141414...

a)

Rational

b)

Irrational

79.

pi - 3.141592....

a)

Rational

b)

Irrational

Negative Exponents

Total questions: 79

Worksheet time: 1hrs 19mins

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