Free Printable Chapter 4 Exponents

1.

What is the exponent form for

6?

a)

6⁰

b)

6¹

2.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

3.

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

a)

4

b)

2

c)

16

4.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

5.

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

a)

squared

b)

cubed

c)

triangled

d)

boxed

6.

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

a)

9

b)

6

c)

27

d)

12

7.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

8.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

9.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

10.

Write 5 x 10⁴ in standard form

a)

5,000

b)

50,000

c)

0.0005

d)

0.00005

11.

Write 3.2 x 10^-2 in standard form

a)

320

b)

3,200

c)

0.032

d)

0.0032

12.

Write 2.6 x 10^-3 in standard form

a)

2,600

b)

26,000

c)

0.026

d)

0.0026

13.

Write 4 x 10⁸ in standard form

a)

400,000,000,000

b)

400,000,000

c)

0.00000004

d)

0.000000004

14.

Write 0.0405 in Scientific Notation

a)

0.405 x 10^-2

b)

4.05 x 10^-2

c)

4.05 x 10²

d)

0.405 x 10²

15.

Write 334,000,000 in Scientific Notation

a)

3.34 x 10⁸

b)

3.34 x 10^-8

c)

0.334 x 10⁸

d)

0.334 x 10^-8

16.

Write 0.37 in Scientific Notation

a)

0.37 x 10⁰

b)

0.37 x 10¹

c)

3.7 x 10¹

d)

3.7 x 10^-1

17.

Simplify: 10⁷(10⁶)

a)

10¹

b)

10⁴²

c)

10¹³

d)

10^-1

18.

Simplify: 6^-3(6⁸)

a)

6^-11

b)

6^-5

c)

6¹¹

d)

6⁵

19.

Simplify: (-x)⁷(-x)⁶

a)

-x¹³

b)

(-x)¹³

c)

-x¹

d)

(-x)^-1

20.

Simplify: a⁰(a)⁵

a)

a⁰

b)

a⁵

c)

a^-5

d)

a⁶

21.

Simplify: 7⁰

a)

7

b)

1

c)

0

22.

Simplify: 8^-4

a)

-32

b)

-4,096

c)

1/32

d)

1/4096

23.

Simplify: (-36)⁰

a)

0

b)

-36

c)

1

d)

-1

24.

Simplify: -36⁰

a)

0

b)

-36

c)

1

d)

-1

25.

Write 2^-4 as a simplified fraction

a)

1/8

b)

-1/8

c)

1/16

d)

-1/16

26.

Multiply: 5(7 x 10⁴). Write your answer in Scientific Notation

a)

35 x 10⁴

b)

3.5 x 10⁵

c)

35 x 50⁴

d)

3.5 x 50⁵

27.

Multiply : (9 x 10^-5)(3 x 10¹²). Write your answer in Scientific Notation

a)

27 x 10⁷

b)

27 x 10¹⁷

c)

2.7 x 10⁸

d)

2.7 x 10⁷

28.

Simplify: 6¹¹/ 6³

a)

6¹⁴

b)

6⁸

c)

1/6¹⁴

d)

1/6⁸

29.

Simplify: (-n)⁴/ (-n)⁹

a)

(-n)⁵

b)

(-n)^-5

c)

1/-n⁵

d)

1/(-n)⁵

30.

The human eye blinks about 4.2 x 10⁶ times each year. About how many times has the eye of a 14-year old blinked?

a)

5.88 x 10⁵

b)

5.88 x 10⁶

c)

5.88 x 10⁷

d)

5.88 x 10⁸

31.

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

a)

-8

b)

-6

c)

6

d)

8

32.

Simplify m¹²/ m³

a)

m^12-3 = m⁹

b)

m^12/3= m⁴

c)

m^-9

d)

-m⁹

33.

Which of the expressions are equivalent to x⁶?

a)

only A and B

b)

only A and C

c)

only A, C and D

d)

All of the expressions

34.

4²* 4²

a)

16⁴

b)

4²

c)

4⁴

d)

8²

35.

Which expression is in expanded form?

a)

5³

b)

5x5x5

c)

125

d)

53

36.

Which expression is equivalent to 3⁴?

a)

3+3+3+3

b)

4+4+4

c)

4x4x4

d)

3x3x3x3

37.

Which expression has the largest value?

a)

6²

b)

2⁶

c)

1¹⁰

d)

10¹

38.

Which expression is equivalent to 10⁶?

a)

1,000,000

b)

60

c)

3,294,360

d)

600

39.

Which expression is not equivalent to 81?

a)

3⁴

b)

9²

c)

81¹

d)

27³

40.

√16 is equal to-

a)

-16

b)

4

c)

256

d)

8

41.

15 is the square root of-

a)

225

b)

30

c)

45

d)

300

42.

Which is the larger value?

a)

10²

b)

√10,000

c)

they are the same

43.

√70 is closest to which whole number?

a)

8

b)

35

c)

7

d)

9

44.

√100

a)

15

b)

10

c)

11

d)

12

45.

√64

a)

3

b)

8

c)

7

d)

6

46.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

47.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

48.

Which number has a square root that is between 5 and 6?

a)

48

b)

81

c)

28

d)

36

49.

√ 4

a)

2

b)

7

c)

16

d)

1

50.

√ 1

a)

1

b)

100

c)

10

d)

0

51.

√ 81

a)

8

b)

7

c)

10

d)

9

52.

5²

a)

16

b)

25

c)

20

d)

10

53.

7²

a)

50

b)

49

c)

14

d)

48

54.

√ 121

a)

10

b)

11

c)

12

d)

121

55.

The area of a square is 225. What is the length of the side?

a)

12

b)

13

c)

14

d)

15

56.

The √20 is between which two consecutive integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

57.

Between which two consecutive whole numbers is the√200?

a)

13 and 14

b)

15 and 16

c)

14 and 15

d)

11 and 12

58.

What is the square root of 289?

a)

13

b)

140

c)

17

d)

18

59.

What is the square root of 324?

a)

16

b)

17

c)

18

d)

19

60.

Which number has a square root that is between 7 and 8?

a)

48

b)

81

c)

60

d)

36

Chapter 4 Exponents

Total questions: 60

Worksheet time: 3600secs

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