Free Printable Exponents

1.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

2.

Simplify

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

3.

a)

x²y⁴

b)

x³y⁴

c)

x²/y⁴

d)

x²/y⁵

4.

Simplify (2x²)³

a)

2⁶

b)

2⁵

c)

8x⁵

d)

8x⁶

e)

6x⁶

5.

3³ ⋅ 3

a)

3⁴

b)

3³

c)

9³

d)

9⁴

6.

Simplify

a)

2x⁶

b)

2x

c)

2x⁵

d)

2x⁸

7.

a)

2v⁰

b)

2v

c)

1/2

d)

2

8.

According to exponent rules, when we raise a power to another power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

9.

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

10.

According to exponent rules, when we divide the terms with the same base we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

11.

According to exponent rules, when we raise a power to another power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

12.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

13.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

14.

Evaluate the expression using the quotient rule.

a)

3⁴

b)

1/3⁴

c)

3^-12

d)

3³²

15.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

16.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

17.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

18.

(2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

19.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

20.

What is the value of (-2)^3?

a)

-8

b)

-6

c)

6

d)

8

21.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

22.

Find the value (standard form) of the power.
3³

a)

9

b)

6

c)

27

d)

12

23.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

24.

What special word do you use for the exponent of 2?

a)

squared

b)

cubed

c)

triangled

d)

boxed

25.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

26.

The exponent equivalent of 20 x 20 x 20 is:

a)

20 x 3

b)

20³

c)

3²⁰

d)

2000

27.

3⁵ ⋅ 3⁷

a)

3³⁵

b)

3¹²

c)

3^-2

d)

3²

28.

m ⋅ m⁵⋅ m⁶

a)

m³⁰

b)

m¹²

c)

12m

d)

mm¹¹

29.

What is the exponent form for
6?

a)

6⁰

b)

6¹

30.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

31.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

32.

The exponent tells me...

a)

the answer

b)

the trick

c)

the number of times to multiply the base (factor)

d)

The number of days in a week

33.

Simplify 8x² - 6x - 8x² - 6x⁴ - 7x

a)

-6x⁴ - 13x

b)

6x⁴ - 13x²

c)

-6x⁴ - x

d)

8x² - x

34.

Simplify $4x^2y^3\ \cdot4x^3$

a)

$16x^5y^3$

b)

$16x^5y^2$

c)

$16x^4y^3$

d)

$16x^2y^2$

35.

30÷6=

a)

5

b)

6

c)

7

d)

8

36.

24÷8=

a)

4

b)

3

c)

5

d)

6

37.

49÷7=

a)

7

b)

8

c)

9

d)

6

38.

81÷9=

a)

9

b)

8

c)

7

d)

6

39.

48÷8=

a)

6

b)

7

c)

5

d)

4

40.

27÷3=

a)

9

b)

6

c)

3

d)

4

41.

12÷4=

a)

3

b)

4

c)

2

d)

6

42.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

43.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

44.

2305684 converted to scientific notation is ______.

a)

2.305684 x 10⁶

b)

2.305684 x 10^-6

c)

0.2305684 x 10⁷

d)

0.2305684 x 10^-7

45.

Which of these shows the numbers in order from greatest to least?

a)

-2.65, -1.43, 0.16, 0.10, 0.07

b)

0.16, 0.10, 0.07, -1.43, -2.65

c)

0.16, 0.10, 0.07, -2.65, -1.43

d)

-2.65, -1.43, 0.07, 0.10, 0.16

46.

If your scale factor is greater than 1, your new shape will be ______.

a)

Bigger

b)

Smaller

c)

The same size

d)

Rotated

47.

Mariana has a square tablecloth with a total area of 49 square feet. Which measurement is closest to the length of each side of the tablecloth in feet?

a)

9.8 ft

b)

5.0 ft

c)

12.0 ft

d)

7 ft

48.

What do you do to find the side length of a square?

a)

Find the square Root

b)

Divide by 4

c)

Divide by 2

d)

Nothing

49.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

50.

If I know the area of a square, how do I find the side length?

a)

I square the area.

b)

I divide the area by 2.

c)

I take the square root of the area.

d)

I divide the area by 4.

51.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

52.

x² = 121
What does x equal?

a)

11²

b)

11 and -11

c)

20 and 11

d)

12 and 1

53.

What is the area of a square with a side of 7?

a)

14

b)

28

c)

49

d)

64

54.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

55.

Mr. Nielsen wants to buy the iPod shuffle. If the area of the iPod was 9 cm², how long was the side of the iPod shuffle?

a)

3 cm

b)

9 cm

c)

3 in

d)

4 cm

56.

The area of the square pool in Katri's vacation villa was 256 ft². How long was one side of the pool?

a)

17 ft

b)

18 ft

c)

16 ft

d)

15 ft

57.

How do you find the slope in a GRAPH?

a)

rise over run

b)

divide

c)

use the square root

d)

dilate it

58.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

59.

In order for a graph to be proportional it has to___?

a)

pass over the y-axis

b)

pass over the x-axis

c)

pass through the origin

60.

(-6)²

a)

12

b)

-12

c)

-36

d)

36

61.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

62.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

63.

What is the square root of 4?

a)

9

b)

4

c)

2

d)

10

64.

$\left(\frac{1}{4}\right)^2=$

a)

$\frac{1}{8}$

b)

$\frac{1}{16}$

65.

What is the area of a 3 cm square?

a)

$6cm^2$

b)

$9cm^2$

66.

Solve each equation for x:

a)

4

b)

4 and -4

c)

16 and -16

d)

16

67.

What is 2 cubed?

2³

a)

8

b)

6

c)

4

d)

16

68.

What number, n, cubed is equal to 64?

n³ = 64

a)

4

b)

2

c)

8

d)

262,144

69.

What is 5 cubed?

5³

a)

125

b)

25

c)

15

d)

625

70.

$8\times8\times8=\left(2^3\right)\times\left(2^3\right)\times\left(2^3\right)$

a)

TRUE

b)

FALSE

71.

$10\times10\times10=10^x$
Find the value of x

a)

3

b)

10

72.

Cube root of 8000 is

a)

2

b)

20

c)

200

73.

√17 is between

a)

3 and 4

b)

4 and 5

c)

6 and 7

d)

16 and 25

74.

Simplify the expression.

a)

1/y⁵

b)

1/y²

c)

y²

d)

y⁵

75.

Simplify. Express using exponents.

a)

8⁰

b)

8¹

c)

8⁸

d)

8⁶

76.

Solve the following equation:

\frac{x+10}{2}=15

You only need to write the number.

(a)

77.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

78.

Simplify: $-8\left(x-2\right)$

a)

$-8x+2$

b)

$8x+2$

c)

$-8x+16$

d)

$-8x-16$

79.

Solve for x: $2x=10$

a)

20

b)

5

c)

8

d)

10

80.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90^o counter clockwise rotation

81.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

right two, down five

b)

right two, down 9

c)

left two, down 9

d)

left two, down 5

82.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

83.

Describe the Transformation

a)

Translation

b)

Rotation

c)

Reflection

84.

Simplify. Express using exponents.

a)

b⁷

b)

b⁸

c)

b¹⁰

d)

b¹⁷

85.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

86.

Evaluate the expression using the Same Base, Division rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

87.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

88.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

89.

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

Exponents

Total questions: 89

Worksheet time: 3hrs 15mins

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