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Chapter 10: Powers & Scientific Notation

Total questions: 38

Worksheet time: 1hrs 24mins

Name
Class
Date
1.

Complete the property below:

(an)(am)=

a)

an+m

b)

an*m

c)

an-m

d)

am-n

2.

Complete the property below:

(an)m=

a)

an*m

b)

an-m

c)

am-n

d)

an+m

3.

Complete the property below:

an÷am=

a)

an-m

b)

am-n

c)

amn

d)

an+m

4.

Any nonzero number to the zero power equals...

a0=?

a)

1

b)

0

5.

Write the product as a single power

97•99

a)

916

b)

9979

c)

8116

d)

8179

6.

Write the product as a single power:

(-6)3(-6)2

a)

(-6)5

b)

(-6)1

c)

-65

d)

65

7.

Simplify the following expression:

(x7)(x5)

a)

x12

b)

x35

c)

x2

d)

x7/5

8.

Simplify the following expression:

(a2b7)(a4b-2)

a)

a6b9

b)

a8b-14

c)

a6b5

d)

a2b7

9.

Simplify the following expression:

(2m4)(5m2)

a)

10m6

b)

10m8

c)

7m6

d)

7m8

10.

Find the equivalent power:

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

11.

Find the equivalent power:

(-4³)²

a)

(-4)⁶

b)

(-4)⁵

c)

-4

d)

(-4)⁻¹

12.

Simplify the following expression:

(x14)3

a)

x17

b)

x42

c)

x11

d)

3x14

13.

Simplify the following expression:

(a3b)3

a)

a9b3

b)

a6b4

c)

a9b

d)

a9b4

14.

Simplify the following expression:

32x6 / 4x2

a)

8x4

b)

8x8

c)

6x4

d)

6x8

15.

Simplify the expression

a)

214 z13

b)

22/z7

c)

214/ z7

d)

22 z7

16.

Simplify the expression

a)

y60

b)

1/y16

c)

y-16

d)

y4

17.

Simplify the following expression

(34x5y6z-7)0

a)

34x5y6 / z7

b)

34x5y6 / x-7

c)

0

d)

1

18.

Evaluate the following power

(-3)-3

a)

1/27

b)

-9

c)

9

d)

1/(-27)

19.

Evaluate the following expression

1/(5-2)

a)

1/25

b)

-1/25

c)

25

d)

-25

20.

Which of the following is written in scientific notation?

a)

20.35 x 104

b)

.2035 x 104

c)

2035 4

d)

2.035 x104

21.

Which of the following is written in scientific notation?

a)

80.3 x 104

b)

8.03 x 105

c)

803 -4

d)

803 x104

22.

Express the value in standard form

4.3756 x 104

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

23.

Express the value in standard form

5.6 x 10-3

a)

0.000056

b)

5,600

c)

0.00056

d)

0.0056

24.

Express the value in standard form

8.317 x 106

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

25.

Express the value in standard form

8.025 x 10-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

26.

Express the value in scientific notation

0.0005

a)

5 x 10-3

b)

5 x 10-4

c)

5 x 103

d)

.5 x 10-3

27.

Express the value in scientific notation 912,000,000

a)

9.12×108

b)

9.12×106

c)

912×106

d)

.912×109

28.

Express the value in scientific notation 0.000000098

a)

9.8×108

b)

9.8×10-8

c)

9.8×10-9

d)

9.8×109

29.
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
30.
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
31.

Find the product, write your answer in scientific notation

(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

32.

Find the product, write your answer in scientific notation

(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

33.

Find the quotient, write your answer in scientific notation

(6.9 x 107) / (2.3 x 10-3)

a)

3 x 1010

b)

3 x 10-4

c)

3 x 10-7

d)

3 x 10-10

34.

Find the quotient, write your answer in scientific notation

(6 x 106) / (2 x 103)

a)

12 x 103

b)

3 x 109

c)

1.2 x 104

d)

3 x 103

35.

Find the sum, write your answer in scientific notation

3×10-2+7×10-2

a)

1×10-2

b)

1×10-1

c)

1×10-4

d)

1×101

36.

Find the sum, write your answer in scientific notation

7.1×103+7×102

a)

7.8×103

b)

1.41×103

c)

7.8×105

d)

7.8×10

37.

Find the difference, write your answer in scientific notation

1.5×105-1.2×105

a)

3×104

b)

3×100

c)

2.7×105

d)

3×10-4

38.

Find the difference, write your answer in scientific notation

3.1×10-7-2.7×10-8

a)

2.83×10-7

b)

2.83×10-8

c)

2.83×10-6

d)

2.83×10-5

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