Free Printable Exponents and Powers

1.

In the expression 2⁵, what is the BASE?

a)

2

b)

8

c)

1

d)

9

2.

In the expression 2⁵, what is the EXPONENT?

a)

2

b)

4

c)

3

d)

5

3.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

4.

You can __________ on me. Like one two three. I'll be there.

a)

count

b)

put

c)

be

d)

see

5.

(−5)103 = ?

a)

negative

b)

positive

c)

non of these

6.

$10^{3\ \ }\ \left[\ \ \ \ \right]\ \ \ \ 3^{10}$

a)

>

b)

<

c)

=

7.

$4\ \times\ 4\ \times\ 4\ \times\ 4\ =\ ?$

a)

$4^5$

b)

$2^4$

c)

$2^8$

d)

$8^2$

8.

Express 243 as the product of powers of prime factors.

a)

$3^2$

b)

$3^4$

c)

$3^3$

d)

$3^5$

9.

What is the exponent form for
6?

a)

6⁰

b)

6¹

10.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

11.

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

a)

squared

b)

cubed

c)

triangled

d)

boxed

12.

If $\sqrt{x}=12$ what does x equal to?

a)

121

b)

124

c)

144

d)

196

13.

Write the expression using exponents.

\left(-5\right)\left(-5\right)\left(-5\right)\left(-5\right)=

a)

$\left(-5\right)^3$

b)

$-5^4$

c)

$\left(-5\right)^4$

d)

$5^4$

14.

Write the expression using exponents. $m\cdot m\cdot m\cdot m\cdot m$

a)

$m^5$

b)

$-m^5$

c)

$m^4$

d)

$5^m$

15.

$\left(-9\right)^4$

Evaluate.

a)

-6561

b)

6561

c)

729

d)

-729

16.

$\left(\frac{1}{3}\right)^4$

Evaluate.

a)

$81$

b)

$\frac{1}{27}$

c)

$27$

d)

$\frac{1}{81}$

17.

$\left(-\frac{5}{6}\right)\left(-\frac{5}{6}\right)\left(-\frac{5}{6}\right)$

Write the expression using exponents.

a)

$\left(-\frac{5}{6}\right)^4$

b)

$\left(\frac{5}{6}\right)^3$

c)

$\left(-\frac{5}{6}\right)^4$

d)

$\left(-\frac{5}{6}\right)^3$

18.

Express each of the following numbers using exponential notation: 3125

a)

5³

b)

5⁸

c)

5⁵

19.

Express each of the following as product of powers of their prime factors: 3600

a)

2⁴ x 3² x 5²

b)

2⁵ x 3⁴ x 5⁴

c)

5⁵x 4³

20.

Using laws of exponents, simplify and write the answer in exponential form: ( 20²⁰÷20¹⁵) x 2³

a)

2³⁵ x 2³

b)

2⁵ x 2³

c)

2⁸

21.

Simplify: (3⁰ + 2⁰ ) × 5⁰

a)

3

b)

2

c)

1

22.

Say true or false and justify your answer:

2³ × 2² × 5⁵= 10⁵

a)

True

b)

False

23.

Express each of the following as a product of prime factors only in exponential form:

729 x 64

a)

3⁴ x 2⁶

b)

3⁶ x 2⁶

c)

3⁵ x 7²

24.

Simplify: (25 x 5² x t⁸) ÷ (10³x t⁴)

a)

5 x t⁴ ÷ 8

b)

25 x t⁴

c)

5/2 t⁴

25.

Write the following numbers in the expanded forms:

30, 06, 194

a)

3×10⁶ +6×10³ +1×10²+9×10⁰ +4

b)

3×10⁵ +6×10⁴ +1×10³ +9×10¹ +4x1

c)

3×10⁶ +0×10⁵ +0×10⁴ +6×10³ +1×10² +9×10¹ +4×10⁰

26.

Express the number appearing in the following statements in standard form.

The distance between Sun and Saturn is 1,433,500,000,000 m

a)

14335 x 10⁸m

b)

1.4335 × 10¹² m

c)

1.4335 x 10⁸m

27.

Compare the following numbers and choose the greater:

(2.45 x 10¹⁹) and (34.5 x 10²³)

a)

(2.45 x 10¹⁹)

b)

(34.5 x 10²³)

28.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

29.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

30.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

31.

Which is GREATER?
2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

32.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

33.

What is the 7¹?

a)

1

b)

7

c)

0

d)

14

34.

What is nine cubed in exponential form?

a)

9 x 9 x 9

b)

9³

35.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

36.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

37.

What is the exponent form for
6?

a)

6⁰

b)

6¹

38.

What is 1/2 squared?

a)

1/4

b)

1/2

c)

1

d)

4

39.

What is 1/4 squared?

a)

1/16

b)

1/4

c)

1/8

d)

1/2

40.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

41.

Evaluate.
2⁵

a)

10

b)

25

c)

32

d)

Answer Not Given

42.

Evaluate.
8²

a)

16

b)

64

c)

-64

d)

Answer Not Given

43.

What is the BASE in the exponent below?
4³

a)

4

b)

3

c)

4³

d)

64

44.

Solve.
(¹/₂)³

a)

¹/₈

b)

³/₆

c)

³/₈

d)

Answer Not Given

45.

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

a)

4

b)

2

c)

16

46.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

47.

What does the "E" stand for in PEMDAS?

a)

Equation

b)

Equal

c)

Exponents

48.

In the expression 2⁵, what is the EXPONENT?

a)

5

b)

2

49.

In the expression 2⁵, what is the BASE?

a)

2

b)

5

50.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

3⁴

c)

81

d)

3²

51.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

52.

Evaluate 12 to the second power

a)

12

b)

24

c)

144

d)

122

53.

Select ALL of the following that are equivalent to 5×5×5

a)

five cubed

b)

five squared

c)

5³

d)

3⁵

e)

125

54.

What is equivalent to 6⁴?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

4⁶

55.

18¹=

a)

18

b)

0

c)

324

d)

1

56.

Which is a perfect square between 36 and 64

a)

25

b)

50

c)

49

d)

61

57.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

58.

Evaluate: 7³

a)

21

b)

343

c)

7 x 7 x 7

d)

7 x 3

59.

Evaluate: 2⁵

a)

64

b)

32

c)

16

d)

8

60.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

61.

In the expression 2⁵, what is the EXPONENT?

a)

5

b)

2

62.

In the expression 2⁵, what is the BASE?

a)

2

b)

5

63.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

3⁴

c)

81

d)

3²

64.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

65.

Evaluate 12 to the second power

a)

12

b)

24

c)

144

d)

122

66.

Select ALL of the following that are equivalent to 5×5×5

a)

five cubed

b)

five squared

c)

5³

d)

3⁵

e)

125

67.

What is equivalent to 6⁴?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

4⁶

68.

18¹=

a)

18

b)

0

c)

324

d)

1

69.

Select ALL of the perfect squares

a)

4

b)

10

c)

64

d)

120

e)

144

70.

Which is a perfect square between 36 and 64

a)

25

b)

50

c)

49

d)

61

71.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

72.

Evaluate: 7³

a)

21

b)

343

c)

7 x 7 x 7

d)

7 x 3

73.

Evaluate: 2⁵

a)

64

b)

32

c)

16

d)

8

74.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

75.

Write the product as a power: 9 x 9 x 9

a)

729

b)

27

c)

9³

d)

3⁹

76.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

Exponents and Powers

Total questions: 76

Worksheet time: 1hrs 24mins

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