Free Printable Exponents & Scientific Notation

1.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

2.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

3.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

4.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

5.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

6.

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

a)

add

b)

subtract

c)

multiply

d)

divide

7.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

8.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

9.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

10.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

11.

a)

b)

c)

d)

12.

x^-3

a)

-x³

b)

1 / x³

c)

1 / x^-3

d)

-x^-3

13.

a)

b)

c)

d)

14.

a)

b)

c)

d)

15.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

16.

Write with positive exponents:

1/a^-2

a)

a^-2

b)

a²

c)

1/a¹

17.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

18.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

19.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

20.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

21.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

22.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

23.

What is the BASE and ANSWER to this problem 5²?

a)

Base 2, Answer 10

b)

Base 5, Answer 25

c)

Base 5, Answer 10

d)

Base 2, Answer 25

24.

What is 4⁵ in expanded form?

a)

5 x 5 x 5 x 5

b)

4 x 4 x 4 x 4

c)

5 x 5 x 5 x 5 x 5

d)

4 x 4 x 4 x 4 x 4

25.

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

26.

Which is equivalent to 7x7x7x7x7x7

a)

7⁶

b)

6⁷

c)

7⁷

d)

7⁵

27.

Which is greater?

2⁷ or 7²

a)

2⁷

b)

7²

c)

neither

28.

A scientist reports that a bacteria culture contains 3⁴ bacteria. How much bacteria is that?

a)

12

b)

81

c)

7

d)

95

29.

What number is the EXPONENT?

2³=8

a)

2

b)

3

c)

8

30.

What is an exponent?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

31.

What is (0.2)³

a)

8

b)

.8

c)

.08

d)

.008

32.

What is (-6)⁴

a)

-1296

b)

1296

c)

24

d)

-24

33.

^simplify 5x³2x²

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

34.

3⁵ ⋅ 3⁷

a)

3³⁵

b)

3¹²

c)

3^-2

d)

3²

35.

m ⋅ m⁵⋅ m⁶

a)

m³⁰

b)

m¹²

c)

12m

d)

mm¹¹

36.

What is the exponent form for
6?

a)

6⁰

b)

6¹

37.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

38.

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

a)

4

b)

2

c)

16

39.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

40.

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

a)

squared

b)

cubed

c)

triangled

d)

boxed

41.

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

a)

3⁵

b)

5³

42.

What are the factors for 5⁴?

a)

5 x 5 x 5

b)

4 x 4 x 4 x 4 x 4

c)

5 x 5 x 5 x 5

43.

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

44.

Simplify the expression.

a)

1/y⁵

b)

1/y²

c)

y²

d)

y⁵

45.

Simplify.

a)

x⁷

b)

1/x³

c)

x³

d)

1/x⁷

46.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

47.

Simplify.

a)

y⁵

b)

y¹⁵

c)

1/y²

d)

1/y⁵

48.

Simplify. Express using exponents.

a)

8⁰

b)

8¹

c)

8⁸

d)

8⁶

49.

Simplify. Express using exponents.

a)

b⁷

b)

b⁸

c)

b¹⁰

d)

b¹⁷

50.

Simplify. Express using exponents.

a)

11m⁴n⁵

b)

16m⁴n⁶

c)

24m⁴n⁵

d)

24m⁴n⁶

51.

Simplify. Express using exponents.

a)

12x⁶y⁴

b)

12x¹⁰y⁶

c)

22x¹⁰y⁶

d)

12x⁶y⁶

52.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

53.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

54.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

55.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

56.

Convert to scientific notation:
520,000,000

a)

52 x 10⁷

b)

5.2 x 10⁷

c)

5.2 x 10⁸

d)

0.52 x 10⁹

57.

Which one of these is in scientific notation?

a)

8.987000

b)

8.98 x 10⁶

c)

80.987 x 10

d)

8.98⁶

58.

The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.

a)

hydrogen, carbon, oxygen, silver, gold

b)

hydrogen, oxygen, gold, siver, carbon

c)

carbon, oxygen, silver, gold, hydrogen

d)

gold, oxygen, carbon, silver, hydrogen

59.

Arrange the numbers from least to greatest:
216,000,000 ; 2.2 x 10³; 3.1 x 10⁷ ; 310,000

a)

2.2 x 10³; 310,000; 3.1 x 10⁷ ; 216,000,000

b)

310,000 ; 2.2 x 10³ ; 3.1 x 10⁷; 216,000,000

c)

3.1 x 10⁷ ; 310,000; 2.2 x 10³; 216,000,000

d)

2.2 x 10³ ; 3.1 x 10⁷ ; 310,000 ; 216,000,000

60.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

61.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

62.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

63.

UNDERSTANDING
If the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

64.

Divide:
5.2 x 10¹¹ ÷ 2 x 10⁵

a)

3.2 x 10⁶

b)

2.6 x 10⁶

c)

2.6 x 10¹⁶

65.

Multiply:
(1.4 x 10⁵)(2 x 10⁷)

a)

2.8 x 10³⁵

b)

2.4 x 10¹²

c)

2.8 x 10¹²

66.

Which of the following in the LARGEST number?

a)

9 x 10⁶

b)

8 x 10¹⁰

c)

1.3 x 10¹²

d)

5.3 x 10³

67.

Which of the following numbers is the SMALLEST?

a)

8.7 x 10³

b)

3 x 10⁴

c)

1.3 x 10⁸

d)

9 x 10²

68.

Solve:
(2.2 x 10⁴) x (7.1x 10⁵)

a)

1.562 x 10¹⁰

b)

15.62 x 10⁹

c)

15.62 x 10²⁰

d)

1.562 x 10²⁰

69.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

70.

Divide:
5.2 x 10¹¹ ÷ 2 x 10⁵

a)

3.2 x 10⁶

b)

2.6 x 10⁶

c)

2.6 x 10¹⁶

71.

A microgram is equal to 1 x 10 ^-6grams. How many times greater than a microgram is 1 x 10²grams?

a)

1 x 10^-8

b)

1 x 10^-4

c)

1 x 10⁴

d)

1 x 10⁸

72.

The US spends an average of 1.02x10⁴dollars on each student per year. There are about 7.6x10⁷ students in the US. About how much money total is spent on students per year?

a)

7.752 x 10¹¹

b)

7.752 x 10²⁸

c)

8.62 x 10¹¹

d)

8.62 x 10²⁸

73.

As part of a community service project, a class planted 7x10⁵ trees in a year. If there are 3.5x10³ students in the school, how many trees did each student plant?

a)

2 x 10⁸

b)

2 x 10²

c)

3.5 x 10⁸

d)

3.5 x 10²

74.

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

a)

3.326 x 10⁵

b)

3.326 x 10⁶

c)

1.99 x 10³⁰

d)

1.99 x 10⁶

75.

Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?

a)

$5844

b)

$584.40

c)

$58.40

d)

$58440

76.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really long numbers

c)

I don't know...

d)

None of the above

77.

UNDERSTANDING:
The first number in scientific notation must be...

a)

between and including 0 and 10

b)

between and including 1 and 9.9999

c)

between and including 0 and 9.999

d)

between and including 1 and 10

78.

How would you write 564,000,000 in scientific notation?

a)

5.64 x 10^-7

b)

5.64 x 10⁶

c)

5.64 x 10⁸

d)

56.4 x 10⁷

79.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

80.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

81.

Write 7.113 x 10⁷ in standard form.

a)

71,130,000

b)

7,113,000

c)

0.0000007113

d)

7,113

82.

Write 0.00000707 in scientific notation.

a)

7.07 x 10^-6

b)

7.07 x 10⁶

c)

707 x 10⁸

d)

707 x 10^-8

83.

Write 6,700 in scientific notation.

a)

6.7 x 10³

b)

6.7 x10^-3

c)

67 x 10²

d)

67 x 10^-2

84.

Write 0.037 in scientific notation.

a)

3.7 x 10^-2

b)

3.7 x 10²

c)

37 x 10^-3

d)

37 x 10³

85.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

86.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

87.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

88.

-8 + 14

a)

6

b)

-6

c)

22

d)

-22

89.

-12 + (-13)

a)

25

b)

-25

c)

1

d)

-1

90.

15 + (-23)

a)

38

b)

-38

c)

8

d)

-8

91.

$-28\div7$

a)

4

b)

-4

c)

-35

d)

-21

92.

-5 - (-1)

a)

6

b)

-6

c)

4

d)

-4

93.

-9 - 4

a)

13

b)

-13

c)

5

d)

-5

94.

42 - (-10)

a)

52

b)

-52

c)

32

d)

-32

95.

$-8\cdot-5$

a)

-3

b)

-13

c)

40

d)

-40

96.

-7(-3)

a)

21

b)

-21

c)

-10

d)

-4

97.

$-8\cdot4$

a)

32

b)

-32

c)

-2

d)

-4

98.

-44\div4

a)

11

b)

-11

c)

-40

d)

-48

99.

$\frac{-48}{-6}$

a)

8

b)

-8

c)

-42

d)

42

100.

-32 + (-16)

a)

48

b)

-48

c)

16

d)

-16

101.

-28 - 14

a)

42

b)

-42

c)

14

d)

-14

102.

$-13\cdot7$

a)

-91

b)

-20

c)

-6

d)

-84

103.

$-7\cdot-6$

a)

42

b)

-42

c)

-13

d)

-1

104.

$\frac{-56}{8}$

a)

7

b)

-7

c)

-48

d)

-64

105.

-36 + 14

a)

50

b)

-50

c)

-22

d)

22

106.

-42 - (-12)

a)

54

b)

-54

c)

30

d)

-30

107.

$-70\div\left(-5\right)$

a)

14

b)

-14

c)

-12

d)

12

108.

Round 23.542 to the nearest tenth.

a)

23.5

b)

23.6

c)

23.54

d)

23

109.

Round 1.823 to the nearest whole number.

a)

1

b)

1.8

c)

2

d)

2.8

110.

Round 5.592 to the nearest hundredth.

a)

5.60

b)

5.50

c)

6.59

d)

5.59

111.

Round 47.941 to the nearest tenth.

a)

47.9

b)

48

c)

47.91

d)

48.1

112.

Which of the following is 9.029 rounded to the nearest hundredth?

a)

9.0

b)

9.02

c)

9.03

d)

9.029

113.

Round 7.4365 to the nearest thousandth.

a)

7.436

b)

7.446

c)

7.45

d)

7.437

114.

Round to the nearest whole number.

75.109

a)

70

b)

80

c)

75

d)

75.1

115.

Round 47.7399 to the nearest thousandth.

a)

48

b)

47.7310

c)

47.740

d)

47.730

116.

Round 0.879 to the nearest whole number.

a)

0.1

b)

1

c)

0

d)

0.88

117.

Name the place value position of the red digit.

83.521

a)

ones

b)

tens

c)

tenths

d)

hundreths

118.

Name the place value position of the red digit.

14.63

a)

ones

b)

tens

c)

tenths

d)

hundredths

119.

Name the place value position of the red digit.

5.9462

a)

ones

b)

tens

c)

tenths

d)

hundredths

120.

Round $34.57 to the nearest dollar.

a)

$34.00

b)

$34.60

c)

$30.00

d)

$35.00

121.

Round 1.567 to the nearest tenths place.

a)

1.56

b)

1.5

c)

1.567

d)

1.6

122.

Rounding rules are ...4 or less...

a)

is the best!

b)

is out west!

c)

let it rest!

d)

is a pest!

123.

Rounding rules are...5 or more

a)

get on all 4's!

b)

close the door!

c)

let it soar!

d)

roll on the floor!

124.

What is the place value of the digit in red?

12.08964

a)

oneths

b)

tenths

c)

hundredths

d)

thousandths

125.

Round 76.0361 to the nearest tens place.

a)

76

b)

80

c)

76.04

d)

76.036

126.

When you are rounding a number, which digit (neighbor) do you look to in order to determine whether to round up or down (stay the same)?

a)

the digit to the left of the number you are rounding

b)

the digit to the right of the number you are rounding

127.

Which digit is in the thousandths place of the number 1.2345

a)

1

b)

2

c)

3

d)

4

e)

5

Exponents & Scientific Notation

Total questions: 127

Worksheet time: 32hrs 45mins

Similar Resources on Wayground