Free Printable Exponents and Powers

1.

In the expression 2⁵, what is the BASE?

a)

2

b)

5

2.

In the expression 2⁵, what is the EXPONENT?

a)

5

b)

2

3.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

4.

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

a)

3 x 4

b)

3⁴

c)

81

d)

3²

5.

Evaluate: 2⁵

a)

64

b)

32

c)

16

d)

8

6.

18¹=

a)

18

b)

0

c)

324

d)

1

7.

What is equivalent to 6⁴?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

4⁶

8.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

9.

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

a)

729

b)

27

c)

9³

d)

3⁹

10.

Evaluate 12 to the second power

a)

12

b)

24

c)

144

d)

122

11.

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

a)

five cubed

b)

five squared

c)

5³

d)

3⁵

e)

125

12.

Select ALL of the perfect squares

a)

4

b)

10

c)

64

d)

120

e)

144

13.

Express each of the following numbers using exponential notation: 3125

a)

5³

b)

5⁸

c)

5⁵

14.

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

15.

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)

16.

Simplify: (3⁰ + 2⁰ ) × 5⁰

a)

3

b)

2

c)

1

17.

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

18.

12⁰ = ?

a)

0

b)

1

c)

12

19.

10 X 10 X 10 = ?

a)

30

b)

100

c)

1000

20.

7⁰ X 7⁰ = ?

a)

49

b)

1

c)

7

21.

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

a)

3 x 4

b)

3⁴

c)

81

d)

3²

22.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

23.

Write 'TRUE' or 'FALSE'
2⁶ > 6²

a)

TRUE

b)

FALSE

24.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

25.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

26.

Evaluate: 2⁵

a)

64

b)

32

c)

16

d)

8

27.

In 2³what is the exponent?

a)

2

b)

3

c)

2³

28.

An exponent of 3 is also called

a)

prime

b)

perfect

c)

cubed

d)

squared

29.

If x = 3, what is the value of x³ - 2

a)

15

b)

25

c)

7

d)

1

30.

If y be any non-zero integer, then y⁰ is equal to

a)

-1

b)

1

c)

0

d)

Not defined

31.

In 2ⁿ, n is known as

a)

BASE

b)

EXPONENT

c)

X

d)

NONE OF THESE

32.

(–10) × (–10) × (–10) × (–10) = 10^–4

a)

TRUE

b)

FALSE

33.

The human body has about 100 billion cells. This number

can be written in exponential form as

a)

10¹¹

b)

10^-11

c)

10⁹

d)

10^-9

34.

$7\ \times\ 10^5\ +\ 6\ \times10^4\ \ +\ 3\ \times10^2\ \ +\ 1\ \times\ 10^0$

a)

763001

b)

760031

c)

760301

d)

760310

35.

Simplify the expression: 5²+ 253⁰- 2³

a)

3

b)

17

c)

18

d)

20

e)

270

36.

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)

$5^4$

37.

$s\cdot7\cdot s\cdot7\cdot7$

Write the expression using exponents.

a)

$7^3\cdot s^3$

b)

$7^4\cdot s^2$

c)

$7^2\cdot s^3$

d)

$7^{3\ }\cdot s^2$

38.

$2^3\cdot3^4$

Which expression is equivalent to

a)

$2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3$

b)

$6\cdot12$

c)

$3\cdot3\cdot4\cdot4\cdot4$

d)

$2\cdot2\cdot2\cdot3\cdot3\cdot3$

Exponents and Powers - 1

Total questions: 38

Worksheet time: 29mins

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