Free Printable Exponents II

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.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

14.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

15.

Evaluate the expression using the quotient rule.

a)

3⁴

b)

1/3⁴

c)

3^-12

d)

3³²

16.

Which expression is equivalent to the given?

a)

b)

c)

d)

17.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

18.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

19.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

20.

(2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

21.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

22.

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

a)

-8

b)

-6

c)

6

d)

8

23.

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

a)

add

b)

subtract

c)

multiply

d)

divide

24.

4²* 4²

a)

16⁴

b)

4²

c)

4⁴

d)

8²

25.

2n⁴ * 5n⁴

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

26.

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

a)

9

b)

6

c)

27

d)

12

27.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

28.

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

a)

squared

b)

cubed

c)

triangled

d)

boxed

29.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

30.

The exponent equivalent of 20 x 20 x 20 is:

a)

20 x 3

b)

20³

c)

3²⁰

d)

2000

31.

3⁵ ⋅ 3⁷

a)

3³⁵

b)

3¹²

c)

3^-2

d)

3²

32.

m ⋅ m⁵⋅ m⁶

a)

m³⁰

b)

m¹²

c)

12m

d)

mm¹¹

33.

What is the exponent form for
6?

a)

6⁰

b)

6¹

34.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

35.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

36.

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

37.

Simplify 8x² - 6x - 8x² - 6x⁴ - 7x

a)

-6x⁴ - 13x

b)

6x⁴ - 13x²

c)

-6x⁴ - x

d)

8x² - x

38.

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

a)

$16x^5y^3$

b)

$16x^5y^2$

c)

$16x^4y^3$

d)

$16x^2y^2$

39.

What is the name of Prince Harry's wife?

a)

Meagan Good

b)

Megan Thee Stallion

c)

Meghan Markle

d)

Megan Fox

40.

30÷6=

a)

5

b)

6

c)

7

d)

8

41.

24÷8=

a)

4

b)

3

c)

5

d)

6

42.

49÷7=

a)

7

b)

8

c)

9

d)

6

43.

81÷9=

a)

9

b)

8

c)

7

d)

6

44.

48÷8=

a)

6

b)

7

c)

5

d)

4

45.

27÷3=

a)

9

b)

6

c)

3

d)

4

46.

12÷4=

a)

3

b)

4

c)

2

d)

6

47.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

48.

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

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

49.

a)

Function

b)

Not a Function

50.

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

51.

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

52.

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

a)

Bigger

b)

Smaller

c)

The same size

d)

Rotated

53.

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

54.

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

55.

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

56.

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.

57.

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

a)

True

b)

False

58.

x² = 121
What does x equal?

a)

11²

b)

11 and -11

c)

20 and 11

d)

12 and 1

59.

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

a)

14

b)

28

c)

49

d)

64

60.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

61.

a)

25² = x

b)

x² = 5

c)

x² = 25

d)

√25 = x²

62.

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

63.

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

64.

How do you find the slope in a GRAPH?

a)

rise over run

b)

divide

c)

use the square root

d)

dilate it

65.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

66.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

67.

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

68.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

69.

√64=___

a)

+ 6 only

b)

± 6

c)

± 8

d)

+ 8 only

70.

(-6)²

a)

12

b)

-12

c)

-36

d)

36

71.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

72.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

73.

Dr. S wrote four irrational numbers on the SMART board and asked Nik to choose the number closest to 4. Which irrational number should Nik choose?

a)

√8

b)

√17

c)

√12

d)

√10

74.

Estimate √50. Round your answer to the nearest Whole Number.

a)

5

b)

10

c)

25

d)

7

75.

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.

76.

Which statement is NOT true?

a)

√169 = 13

b)

15² = 225

c)

4² = √16

d)

√164 = 18

77.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

78.

What is the square root of 4?

a)

9

b)

4

c)

2

d)

10

79.

65

a)

Is a perfect square.

b)

Is not a perfect square.

80.

$\sqrt{25}=\sqrt{x^2}$
What is the answer for x?

a)

5

b)

10

c)

25

81.

$\sqrt{\frac{64}{25}}=\frac{y}{5}$
What is y?

a)

4

b)

8

82.

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

a)

$\frac{1}{8}$

b)

$\frac{1}{16}$

83.

1, 4, 9, 16, 25, x, 49, 64....

What is x?

a)

27

b)

31

c)

36

d)

41

84.

What is the area of a 3 cm square?

a)

$6cm^2$

b)

$9cm^2$

85.

√400

a)

20

b)

19

c)

14

d)

18

86.

What is the cube root of 64?

a)

4

b)

-4

c)

8

d)

-8

87.

Find the cube root.

a)

5

b)

-5

c)

10

d)

25

88.

The volume of a cube is 1,000 cm³. What is the length of each side of the cube?

a)

1

b)

10

c)

100

d)

300

89.

Solve each equation for x:

a)

4

b)

4 and -4

c)

16 and -16

d)

16

90.

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

a)

64

b)

27

c)

81

d)

16

91.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

92.

$\sqrt{1+\frac{15}{49}}=$

a)

2

b)

21

c)

$\frac{5}{2}$

d)

$\frac{8}{7}$

93.

CHALLENGE.

a)

3

b)

62

c)

6

d)

2

94.

What is 2 cubed?

2³

a)

8

b)

6

c)

4

d)

16

95.

What number, n, cubed is equal to 64?

n³ = 64

a)

4

b)

2

c)

8

d)

262,144

96.

What is 5 cubed?

5³

a)

125

b)

25

c)

15

d)

625

97.

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

a)

TRUE

b)

FALSE

98.

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

a)

3

b)

10

99.

Cube root of 8000 is

a)

2

b)

20

c)

200

100.

√17 is between

a)

3 and 4

b)

4 and 5

c)

6 and 7

d)

16 and 25

101.

√27 is between

a)

3 and 4

b)

25 and 36

c)

4 and 5

d)

5 and 6

102.

√40 is between

a)

8 and 9

b)

7 and 8

c)

5 and 6

d)

6 and 7

103.

Name this logo:

a)

Volkswagon

b)

Toyota

c)

Hyundai

d)

Audi

104.

What car brand is this

a)

Ferrari

b)

Porsche

c)

Lamborghini

d)

Astonmartin

105.

What's the name of the mineral which gives Wakanda it's technological advantage?

a)

Vibranium

b)

Unobtainium

c)

Adamantium

d)

Chernobylite

106.

Who is Tony Stark better known as?

a)

Hulk

b)

Groot

c)

IronMan

d)

Star Lord

107.

What metal is running through Wolverines body?

a)

Unobtainium

b)

Adamantium

c)

Tin

d)

Vibranium

108.

What's Spidermans real name?

a)

Tony Stark

b)

Bruce Banner

c)

Peter Parker

d)

Jarvis

109.

Which is not a Marvel Character

a)

Loki

b)

Hulk

c)

Thor

d)

Wonder Woman

110.

Who is Chelsea's Star Player from the 2018-2019 season

a)

Willian

b)

Pedro

c)

Kepa Arrizabalaga

d)

Eden Hazard

111.

Who is he?

a)

Sadio Mane

b)

Moussa Sissoko

c)

Antonio Rudiger

d)

Christian Benteke

112.

Who is he?

a)

Ivan Cavaleiro

b)

Aaron Cresswell

c)

Semi Ajayi

d)

Mateo Kovacic

113.

Who is he?

a)

Anwar El Ghazi

b)

Donny Van De Beek

c)

Daniel Podence

d)

Jonjo Shelvey

114.

What team has won the most champions leagues

a)

AC Milan

b)

Liverpool

c)

Real Madrid

d)

Bayern Munich

115.

Who won 2018-2019 seasons Golden Boot?

a)

Harry Kane

b)

Sergio Aguero

c)

Eden Hazard

d)

Pierre-Emerick Aubameyang

116.

Who topped the assist charts for the season 18/19?

a)

Mesut Ozil

b)

Christian Eriksen

c)

David Silva

d)

Kevin de Bruyne

117.

How many times has Chelsea been relegated from the premier league?

a)

1

b)

7

c)

0

d)

None of the Above

118.

Aussie Rules football is also known by what other name?

a)

Pedal

b)

Kicky

c)

Footy

d)

The Boot

119.

Nickname of the Australian men's soccer team.

a)

Kangaroos

b)

Wallabies

c)

Socceroos

d)

Emus

120.

Olympiacos is playing Arsenal tonight. Who will win?

a)

Arsenal

b)

Olympiacos

c)

It will be a draw

d)

Newcastle

e)

Chelsea

Exponents II

Total questions: 120

Worksheet time: 1hrs 18mins

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