Free Printable Tuesday

1.

4 * 4²

a)

4²

b)

16²

c)

4³

d)

16³

2.

2 * 2² *2²

a)

2⁴

b)

8⁴

c)

36

d)

2⁵

3.

2n⁴ * 5n⁴

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

4.

6x * 2x²

a)

12x

b)

12x²

c)

18x³

d)

none of the above

5.

7v³*10u³v⁵

a)

70u³v⁶

b)

17u³v⁸

c)

70u³v⁸

d)

none of the above

6.

10xy³ * 8x⁵y³

a)

80xy³

b)

80x⁶y³

c)

80x⁶y⁶

d)

none of the above

7.

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

8.

The length of a rectangle is 4a⁴b⁵ and the width is 3a²b³, what is the expression that represents the area of the rectangle?Area = length ⋅ width

a)

12a⁶b⁸

b)

7a⁶b⁸

c)

12a⁸b¹⁵

d)

12a²b²

9.

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

a)

When he multiplies exponents, he is supposed to add the base and the exponent

b)

When he multiplies exponents, he is supposed to multiply the base and keep the exponents

c)

When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

d)

None of the above

10.

Simplify
6m³n³* 8m²n³

a)

48m⁵n⁹

b)

48m⁶n⁶

c)

48m⁵n⁶

d)

none of the above

11.

Simplify
10xy³ * 8x⁵y³

a)

80xy³

b)

80x⁶y³

c)

80x⁶y⁶

d)

none of the above

12.

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

a)

x⁶

b)

6x

c)

x³

d)

6x⁶

13.

Simplify
(w^3/4z^8/7)(w^3/4z^6/7)

a)

w^9/4z^48/7

b)

w^9/16z^48/49

c)

w^6/4z^14/7

d)

w^3/2z²

14.

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

Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

15.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

16.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

17.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

18.

Select the expression that is equivalent (equal) to (7⁶)⁴.

a)

7¹⁰

b)

7²

c)

7²⁴

d)

7²⁷

19.

What is the correct way to expand $5^3\cdot5^2$ ?

a)

$\left(5+5+5\right)\left(5+5\right)$

b)

$\left(5\times3\right)\left(5\times2\right)$

c)

$\left(5\times5\right)\left(3\times2\right)$

d)

$\left(5\cdot5\cdot5\right)\left(5\cdot5\right)$

20.

Select the expression equivalent (equal) to $\frac{6^8}{6^3}$ .

a)

$6^{11}$

b)

$6^5$

c)

$6^{24}$

d)

$6^{-5}$

21.

Which expression is equivalent (equal) to $4^{12}\times7^{12}$ .

a)

$28^{24}$

b)

$21^{12}$

c)

$28^{12}$

d)

$28^{144}$

22.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

23.

Select the expressions that are equivalent (equal) to $\left(m^7\cdot m^3\right)^4$ . (There is more than one answer!)

a)

$m^{40}$

b)

$m^{28}\cdot m^{12}$

c)

$m^{11}\cdot m^7$

d)

$\left(m^{10}\right)^4$

24.

Which expression is equivalent (equal) to $\frac{10^{-3}}{10^9}$ .

a)

$10^{-12}$

b)

$10^{-6}$

c)

$10^6$

d)

$10^{-27}$

25.

Which expression is equivalent (equal) to $\frac{\left(6^{-4}\right)^{-2}}{6^2}$ .

a)

$6^6$

b)

$6^{-10}$

c)

$6^{-8}$

d)

$6^{10}$

26.

Simplify: (x⁸)(x^-5)

a)

x^-40

b)

x^-13

c)

x¹³

d)

x³

27.

Simplify the expression using the properties of exponents.
$\frac{t^{12}u^7}{t^2u}$

a)

$t^{14}u^8$

b)

$t^{24}u^7$

c)

$t^{10}u^7$

d)

$t^{10}u^6$

28.

Use the properties of exponents to write the expression as a single power: (b¹)(b¹¹) =

a)

b¹¹

b)

b¹⁰

c)

b¹²

29.

4³x 4³

a)

4⁶

b)

4⁹

c)

16⁶

d)

16⁹

30.

7⁸ x 7

a)

7⁹

b)

49⁸

c)

7⁸

d)

49⁹

31.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

32.

Simplify: (3x²)³

a)

27x⁶

b)

9x⁶

c)

3x⁶

d)

9x⁵

33.

What is the exponent form for
6?

a)

6⁰

b)

6¹

c)

6×1

d)

0

34.

(-5)³

a)

-15

b)

125

c)

-125

d)

-625

35.

3⁴/3²

a)

1²

b)

3⁶

c)

9

d)

12

36.

6¹⁰/6⁷

a)

6¹⁷

b)

1³

c)

1¹⁷

d)

6³

37.

x¹¹/x⁵

a)

x¹⁶

b)

x⁶

c)

1⁶

d)

1¹⁶

38.

y¹³/y⁸

a)

y⁵

b)

1⁵

c)

y²¹

d)

1²¹

39.

a⁵/a¹²

a)

1¹⁷

b)

1^-7

c)

a¹⁷

d)

a^-7

40.

b⁴/b¹⁵

a)

1^-11

b)

b¹⁹

c)

b^-11

d)

1¹⁹

41.

c⁶/c¹⁶

a)

1^-10

b)

1²²

c)

c^-10

d)

c²²

42.

d⁸/d¹¹

a)

1^-3

b)

d^-3

c)

d¹⁹

d)

1¹⁹

43.

c¹⁵/c⁵

a)

1¹⁰

b)

c¹⁰

c)

c²⁰

d)

1²⁰

44.

y¹⁴/y⁷

a)

1²¹

b)

y²¹

c)

1⁷

d)

y⁷

45.

2²x 2³

a)

4⁶

b)

4⁵

c)

2⁶

d)

2⁵

46.

x^{20 .} x¹⁰

a)

x³⁰

b)

x²⁰⁰

c)

2x³⁰

d)

x¹⁰

47.

(x¹⁴)³

a)

x¹⁷

b)

x⁴²

c)

x¹¹

d)

3x¹⁴

48.

(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

49.

(3⁶)⁷

a)

3¹³

b)

3

c)

3⁴²

d)

3¹

50.

(b⁵)²

a)

b⁷

b)

b¹⁰

c)

b³

d)

b

51.

If the bases are the same, then you....

a)

Multiply the exponents

b)

Subtract the exponents

c)

Add the exponents

d)

Divide the exponents

52.

(zb⁴)²

a)

zb⁶

b)

zb⁸

c)

zb²

d)

zb

53.

((2/3)³)³

a)

(2/3)

b)

(2/3)⁹

c)

(2/3)⁶

d)

(2/3)^-9

54.

(-3/4)³

a)

-27/64

b)

-9/12

c)

27/64

d)

-6/7

55.

6r *5r²

a)

30r³

b)

30r²

c)

11r³

d)

11r²

56.

7v³*10u³v⁵

a)

70u³v⁶

b)

17u³v⁸

c)

70u³v⁸

d)

none of the above

57.

9xy² * 9x⁵y²

a)

81x⁶y⁴

b)

18x⁶y⁶

c)

9x⁶y⁴

d)

none of the above

58.

6m³n³* 8m²n³

a)

48m⁵n⁹

b)

48m⁶n⁶

c)

48m⁵n⁶

d)

none of the above

59.

7u²v⁵ * 9uv³

a)

16u²v⁸

b)

63u³v¹⁵

c)

63uv⁸

d)

63u³v⁸

60.

uv * 4uv⁵

a)

4u²v⁶

b)

u²v⁶

c)

2u*4v

d)

4uuvvv

61.

3u⁴v⁵ * 7u²v³

a)

21u²v²

b)

14u⁶v⁸

c)

21u⁸v¹⁵

d)

none of the above

62.

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

a)

When he multiplies exponents, he is supposed to add the base and the exponent

b)

When he multiplies exponents, he is supposed to multiply the base and keep the exponents

c)

When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

d)

None of the above

63.

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

a)

3⁵

b)

5³

64.

Multiply.
(4x)(3x³)(x³)

a)

7x⁹

b)

12x¹⁰

c)

12x⁷

d)

7x⁷

65.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

66.

True or False:

a)

True

b)

False

67.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

68.

Simplify the expression.

a)

1²²

b)

1³⁰

c)

6²²

d)

6³⁰

69.

Quotient Rule states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

70.

True or False?

a)

True

b)

False

71.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

72.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

73.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

74.

Which is the expanded form of
5³

a)

3 x 3 x 3

b)

5 x 5

c)

5 x 5 x 5

d)

5 x 3

75.

What is the exponential form of
4 x 4 x 4 x 4 x 4 x 4

a)

6⁴

b)

4²

c)

4⁶

d)

4 x 6

76.

Simplify the expression:
(5⁸) ÷ (5²)

a)

5⁶

b)

5¹⁰

c)

5⁴

d)

5¹⁶

77.

(3⁴)(3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

78.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

79.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

80.

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

a)

When he multiplies exponents, he is supposed to add the base and the exponent

b)

When he multiplies exponents, he is supposed to multiply the base and keep the exponents

c)

When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

d)

None of the above

81.

What is the power to this problem?

6 x 6 x 6 x 6 x 6 x 6 x 6

a)

6 to the 7th power

b)

6 to the 8th power

c)

7 to the 9th power

d)

10 to the 5th power

82.

In the exponent 3⁴, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

83.

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

a)

squared

b)

cubed

c)

triangled

d)

boxed

84.

What is the number in a power that tells how many times the base is used as a factor?

a)

Expression

b)

Exponent

c)

Factor

d)

Term

85.

Any number written to the 0 power is always 1
Example: 8⁰=1

a)

True

b)

False

86.

Which is GREATER?

2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

87.

2⁵ is the same as 2 x 5.

a)

True

b)

False

88.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

89.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

90.

What does the term"cubed" mean?

a)

raised to the power of 2

b)

raised to the power of 3

c)

raised to the power of 4

91.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

92.

Find the value of the power.

3³

a)

9

b)

6

c)

27

d)

12

93.

Which number is the EXPONENT?

4^{2 =}16

a)

4

b)

2

c)

16

94.

Scott sends an email to 3 people and each of those people will send the email to 3 more people, and so on. Which expression shows the number of people that will receive the email after the fourth round?

a)

5⁵

b)

4³

c)

3⁴

d)

10¹

95.

At the carnival, the total number of people who rode the Ferris wheel tripled every hour the park was open. Write an exponential expression to represent the number of people who rode the Ferris wheel in the first five hours the park was open. Then, solve the expression.

4 lines

96.

Write 2 x 2 x 3 x 3 x 3 in index notation (with exponents).

a)

4 x 27

b)

23⁵

c)

2² x 3³

d)

2³x 3²

97.

Write 4 x 6 x 6 x 7 x 7 x 7 in index notation.

a)

4 x 6⁶ x 6⁶

b)

4 x 6 ²x 7³

c)

4 x 36 x 343

d)

467⁶

98.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

99.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

100.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

101.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

102.

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

103.

Simplify:
b²⋅ b⁴

a)

b⁸

b)

b⁶

c)

b²

d)

2b⁶

104.

Simplify:
(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

105.

(x³y)⁶

a)

2x¹⁸y⁶

b)

x¹⁸y⁶

c)

x³y⁶

d)

x³y⁶

106.

Simplify (-1/2)⁰

a)

1

b)

0

c)

-1

d)

-2

107.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

108.

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

a)

add

b)

subtract

c)

multiply

d)

divide

109.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

110.

Multiply

a)

100

b)

10¹

c)

10^-2

d)

1/100

111.

a)

6^-2

b)

1/6²

c)

1/36

d)

All of the above

112.

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

113.

a)

0

b)

3

c)

1

d)

-1

114.

a)

w

b)

w^-1= 1/w

c)

-w

d)

w¹⁷

115.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

116.

a)

25⁶⁰

b)

25¹⁷

c)

5⁶⁰

d)

5¹⁷

117.

a)

1

b)

6⁰

c)

36/36

d)

all of the above

118.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

119.

Simplify:
x⁵÷ x²

a)

x⁷

b)

x³

c)

x¹⁰

d)

x^2.5

120.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

121.

Simplify (-5.7)⁰

a)

1

b)

0

c)

-1

d)

-5.7

122.

a)

x¹²

b)

x^-12

c)

x²

d)

x^-2

123.

a)

w

b)

w^-1= 1/w

c)

-w

d)

w¹⁷

124.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

125.

a)

3

b)

0

c)

1

d)

1/3

126.

a)

8

b)

1/8

c)

8⁷

d)

all of the above

127.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

128.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

129.

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

130.

Simplify:
b²⋅ b⁴

a)

b⁸

b)

b⁶

c)

b²

d)

2b⁶

131.

Simplify:
(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

132.

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

a)

add

b)

subtract

c)

multiply

d)

divide

133.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

134.

Multiply

a)

100

b)

10¹

c)

10^-2

d)

1/100

135.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

136.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

137.

x^-3

a)

1/x³

b)

1/x^-3

c)

3x

d)

1/3x

138.

a)

$8^2$

b)

$3^8$

c)

$8^3$

d)

$8^8$

139.

Write each power as product of the same factor. Then find the value

$2^5$

a)

$2\times2\times2\times2\times2\ =\ 17$

b)

$2\times2\times2\times2\times2\ =\ 32$

c)

$2\times5=10$

140.

Write each power as product of the same factor. Then find the value

$7^3$

a)

$7\times7\times7\times7=2401$

b)

$7\times7=49$

c)

$7\times3=21$

d)

$7\times7\times7=343$

141.

Write each power as product of the same factor. Then find the value

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

a)

$\frac{1}{3}\times\frac{1}{3}\times\frac{1}{3}=\frac{1}{27}$

b)

$\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{8}$

c)

$\frac{1}{2}\times3=6$

d)

$3\times\frac{1}{2}=\frac{3}{2}$

142.

Write each power as product of the same factor. Then find the value

$0.5^3$

a)

$0.5\times0.5\times0.5=0.125$

b)

$0.5\times3=1.5$

c)

$0.5\times3=\frac{3}{2}$

d)

$0\times5\times3=111$

143.

Find the value of each expression

$2^2\ +\ 4\ =$

a)

6

b)

0

c)

8

d)

22

144.

Find the value of each expression

$1.8^2\ \times100\ =$

a)

222

b)

100

c)

1.8

d)

324

145.

Mrs. Eman traveled about 8 x 8 x 8 x 8 kilometers.

Write this product using exponent:

a)

$8^4$

b)

$4^8$

c)

$22$

d)

$4096$

146.

So, Mrs. Eman traveled about $8^4$ kilometers.

The base is (a)

147.

So, Mrs. Eman traveled about $8^4$ kilometers.

The exponent is (a)

148.

So, Mrs. Eman traveled about $8^4$ kilometers.

About how many kilometers did Mrs travel ?

(a)

Tuesday

Total questions: 148

Worksheet time: 5hrs 35mins

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