Free Printable Negative Exponent

1.

5^-2

a)

1/25

b)

1/5²

2.

Simplify (evaluate):

3^-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

3.

Are these two equivalent:

2² = (-2)²

a)

Yes

b)

No

4.

Write this expression using positive exponent:

x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

5.

Simplify (evaluate):

5^-2

a)

-10

b)

1/25

c)

1/(5)²

d)

-1/10

6.

Simplify (evaluate):

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

7.

Simplify (evaluate):

2^-1

a)

1/2

b)

1/1

c)

-1/1

d)

-1/2

8.

Write this expression using positive exponent:

9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

9.

Rewrite each expression with a negative exponent.
¹/_12⁴

a)

¹/_12^-4

b)

12⁴

c)

¹/_20,736

d)

12^-4

10.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

11.

Simplify x²y^-5

a)

1/x²y⁵

b)

x²/y⁵

c)

y⁵/x²

d)

x²/y^-5

12.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

13.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

14.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

15.

Are these two equivalent:

2² = (-2)²

a)

Yes

b)

No

16.

Write this expression using positive exponent:

x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

17.

Simplify (evaluate):

5^-2

a)

-10

b)

1/25

c)

1/(5)²

d)

-1/10

18.

Simplify (evaluate):

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

19.

Any number written to the 0 power is always 1

Example: 8⁰=1

a)

True

b)

False

c)

Sometimes

20.

simplify (-3)⁴

a)

81

b)

-81

c)

12

d)

-12

21.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

22.

Write with positive exponents:

a)

a^-2

b)

a²

c)

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

d)

2a

23.

Simplify

a)

$\frac{7a^5}{b^3}$

b)

$\frac{b^3}{7a^5}$

c)

$\frac{7b^3}{a^{-5}}$

d)

$\frac{7b^3}{a^5}$

24.

Simplify

a)

$\frac{1}{5x^3}$

b)

$\frac{1}{x^5}$

c)

$-\frac{5}{x^3}$

d)

$\frac{5}{x^3}$

25.

Simplify

a)

$\frac{a^3b^2}{4}$

b)

$\frac{4a^3}{b^2}$

c)

$\frac{4}{a^3b^2}$

d)

$\frac{1}{4a^3b^2}$

26.

Rewrite using a positive exponent.
$y^{-22}$

a)

$-y^{22}$

b)

$\frac{1}{y^{22}}$

c)

$\frac{1}{y^{-22}}$

d)

$y^{22}$

27.

Write an equivalent expression for $h^{-8}$ using a positive exponent.

a)

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

b)

$-8h$

c)

$\frac{8}{h}$

d)

$h^8$

28.

Simplify.
$3x^{-3}y^0$

a)

$\frac{3x^3}{y}$

b)

$\frac{y}{3x^3}$

c)

$\frac{3}{x^3}$

d)

$x^3$

29.

Simplify.
$2x^{-4}y^3$

a)

$\frac{2y^3}{x^4}$

b)

$\frac{x^4}{2y^3}$

c)

$\frac{y^3}{2x^4}$

d)

$\frac{2x^4}{y^3}$

30.

Simplify.
$3x^{-4}y^4$

a)

$\frac{3y^4}{x^4}$

b)

$\frac{3y}{x}$

c)

$\frac{3y^4}{4x}$

d)

$\frac{4y}{x}$

31.

Simplify

a)

$\frac{1}{8}$

b)

-16

c)

$\frac{1}{16}$

d)

16

32.

$4^{-2}$

a)

16

b)

-16

c)

8

d)

$\frac{1}{16}$

33.

$\frac{1}{3^5}$ is the same as

a)

$3^{-5}$

b)

$3^5$

c)

15

d)

$\frac{3}{5}$

34.

$\frac{5^{-2}}{7^{-2}}$

a)

$\frac{10}{49}$

b)

$\frac{25}{49}$

c)

$\frac{49}{25}$

d)

$\frac{10}{14}$

35.

Simplify 10⁰

a)

10

b)

1

c)

0

d)

100

36.

Simplify
6.7⁰

a)

6.7

b)

1

c)

-1

d)

0

37.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

38.

Simplify -9⁰
(Hint: parenthesis matter)

a)

1

b)

-1

c)

-9

d)

9

39.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

40.

a)

27

b)

-27

c)

1/-27

d)

1/27

41.

Simplify 3x^-2

a)

1/3x²

b)

3/x²

c)

3x²

d)

x²/3

42.

Simplify

a)

-1/16

b)

1/16

c)

-16

d)

16

43.

Simplify

a)

a³b²/4

b)

4a³/b²

c)

4/a³b²

d)

1/4a³b²

44.

Simplify -5x²y^-3

a)

-5x²/y³

b)

x²/5y³

c)

x²y³/-5

d)

y^-3/-5x²

45.

Simplify

a)

-1/125

b)

125

c)

-125

d)

1/125

46.

Simplify: $2^{-4}$

a)

$-8$

b)

$-16$

c)

$-\frac{1}{8}$

d)

$\frac{1}{16}$

47.

$x^{-7}$

a)

$\frac{1}{x^{-7}}$

b)

$\frac{1}{x^7}$

c)

$x^7$

d)

$7x$

48.

Rewrite using a Positive Exponent: $5n^{-9}$

a)

$-5n^9$

b)

$-\frac{5}{n^9}$

c)

$\frac{5}{n^9}$

d)

$-45n$

49.

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

a)

$w^2$

b)

$-2w$

c)

$\frac{2}{w}$

d)

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

50.

Simplify: $x^3\ \cdot\ x^{-3}$

a)

$x^{0\ }=\ \ 1$

b)

$x^{-1\ \ }=\ \ \frac{1}{x}$

c)

$2x^{-9}\ =\ \frac{2}{x^9}$

d)

$2x^0=\ 2$

51.

Simplify: $\frac{x^{-3}}{x^{-7}}$

a)

$x^{21}$

b)

$x^4$

c)

$\frac{1}{x^{21}}$

d)

$\frac{1}{x^{10}}$

52.

$\frac{x^5y^{-6}z}{x^{-3}y^{ }z^{-3}}$

a)

$\frac{x^8z^4}{y^7}$

b)

$\frac{x^2z^3}{y^5}$

c)

$\frac{x^8}{y^7z^4}$

d)

$\frac{x^2}{y^5z^2}$

53.

How would you change this to a positive exponent:
1/x^-3

a)

1/x³

b)

x³

c)

3x

d)

1/3x

54.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

55.

-3xy³ . (4xy)²

a)

-12x³y⁵

b)

-48x²y⁴

c)

-48x³y⁵

d)

-12x²y⁶

56.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

57.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

58.

Simplify
(-7y²)(5y⁴)

a)

-35y⁶

b)

-2y⁶

c)

-35y⁸

d)

-2y⁸

59.

a)

-30x¹¹

b)

-30x¹⁸

c)

-x¹¹

d)

-x¹⁸

60.

a)

y¹⁶⁰

b)

y¹

c)

1

d)

y⁴

61.

$36\ \div\ 2^2\ -\ 1\ \times\ 2^3$

a)

1

b)

64

c)

4,096

62.

$6^2\ \div\ 3^2\ \times\ 2^3$

a)

32

b)

18

c)

0.5

d)

1

63.

Solve: $5-2\left(2^3-5\right)$

a)

-1

b)

3

c)

-9

d)

9

64.

Solve: $\left(10-5\right)^2+\left(12\div4\right)$

a)

13

b)

28

c)

-22

d)

7

65.

What type of slope?

a)

positive

b)

negative

c)

zero

d)

undefined

66.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

67.

What type of slope?

a)

zero slope

b)

undefined

c)

negative

d)

positive

68.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

69.

Find the slope of the line below using rise/run.

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

3

d)

$\frac{1}{3}$

70.

Find the slope of the line below using rise/run.

a)

$\frac{1}{2}$

b)

$\frac{2}{1}$

c)

2

d)

1

71.

Find the slope of the line below using rise/run.

a)

3

b)

$\frac{1}{3}$

c)

2

d)

1

72.

Find the slope of the line below using rise/run.

a)

$\frac{5}{3}$

b)

$\frac{3}{5}$

c)

5

d)

$\frac{5}{4}$

73.

Find the slope of the line below using rise/run.

a)

$\frac{1}{2}$

b)

$\frac{4}{2}$

c)

2

d)

3

e)

$\frac{2}{3}$

74.

Find the slope. Simplify, if you can.

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$2\ \frac{1}{2}$

d)

2

75.

Find the slope. Simplify, if you can.

a)

$\frac{1}{2}$

b)

$\frac{4}{8}$

c)

4

d)

2

76.

Find the slope. Simplify, if you can.

a)

3

b)

$\frac{1}{3}$

c)

$-\frac{1}{3}$

d)

-3

77.

Identify the slope in the equation:

$y=8x$

a)

8

b)

1/8

c)

-8

d)

0

78.

Identify the slope in the equation:

$y=\frac{5}{6}x$

a)

$\frac{5}{6}$

b)

$\frac{6}{5}$

c)

5

d)

6

79.

$y=x+5$

Identify the slope in the equation:

(a)

Negative Exponent

Total questions: 79

Worksheet time: 5hrs 57mins

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