Exponent Rules & Scientific Notation Review

Assessment

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Nikki Holsomback

•

Mathematics

•

7th - 9th Grade

•

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63 questions

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Multiple Choice

1 min

1 pt

Write using a single exponent: 10³ x 10⁵

10¹⁵

10⁸

10²

10⁶

Multiple Choice

1 min

1 pt

Write using a single exponent: (10⁴)⁵

10²⁰

10¹

10⁹

10⁶

Multiple Choice

1 min

1 pt

Write using a single exponent: (10⁹)³

10¹²

10³

10⁶

10²⁷

Multiple Choice

1 min

1 pt

Write using a single exponent: 10⁴ x 10⁶

10²

10²⁴

10¹²

10¹⁰

Multiple Choice

1 min

1 pt

Write using a single exponent: 10¹⁹ x 10¹⁴

10³³

10⁵

10⁴³

10²⁶⁶

Multiple Choice

1 min

1 pt

Write using a single exponent: (10⁵)⁶

10¹

10¹¹

10³⁰

10¹⁷

Multiple Choice

1 min

1 pt

Write using a single exponent: 10³ x 10⁴ x 10²

10⁹

10¹²

10⁷

10²⁴

Multiple Choice

1 min

1 pt

Write using a single exponent: (10¹¹)⁹

10¹⁵

10²⁰

10²

10⁹⁹

Multiple Choice

1 min

1 pt

Write using a single exponent: $\frac{3^7}{3^3}$

$3^{10}$

$3^{21}$

$3^4$

$3^6$

10.

Multiple Choice

1 min

1 pt

$\frac{6^5}{6^3}$

Write using a single exponent:

$6^2$

$6^{15}$

$6^8$

$6^{20}$

11.

Multiple Choice

1 min

1 pt

$\frac{8^2}{8^5}$

Write using a single exponent:

$8^{10}$

$8^3$

$8^{-3}$

$8^7$

12.

Multiple Choice

1 min

1 pt

Write using a single exponent: $\frac{9^9}{9^2}$

$9^{15}$

$9^{11}$

$9^{18}$

$9^7$

13.

Multiple Choice

1 min

1 pt

$10^{-5}$

Write using a positive exponent:

$50$

$10^5$

$\frac{1}{10^5}$

$10^9$

14.

Multiple Choice

1 min

1 pt

$9^{-3}\times9^{-7}$

Write using a single exponent:

$9^{10}$

$9^{-10}$

$9^{-4}$

$9^4$

15.

Multiple Choice

1 min

1 pt

$\left(9^2\right)^{-4}$

Write using a single exponent:

$9^{-2}$

$9^{-8}$

$9^8$

$9^{-6}$

16.

Multiple Choice

3 mins

1 pt

Anything raised to a power of zero is always:

itself

negative

17.

Multiple Choice

3 mins

1 pt

(-2)³⋅(-2)⁶

(-2)⁹

(-2)¹⁸

(-2)⁻³

(-2)

18.

Multiple Choice

3 mins

1 pt

(2⁸)²

2¹⁶

2¹⁰

2⁶

2⁴

19.

Multiple Choice

3 mins

1 pt

8⁷ ⁄ 8²

8⁵

8⁹

8¹⁴

1⁵

20.

Multiple Choice

2 mins

1 pt

3³ ⋅ 3

3⁴

3³

3⁰

1 ⁄ 3⁴

21.

Multiple Choice

2 mins

1 pt

7⁵⁄7³

7²

7⁸

22.

Multiple Choice

1 min

1 pt

5^-2

-10

1/25

1/10

-1/10

23.

Multiple Choice

2 mins

1 pt

8⁷ ⁄ 8²

8⁵

8⁹

8¹⁴

1⁵

24.

Multiple Choice

30 sec

1 pt

(5³x²y⁴)⁰

5xy

25.

Multiple Choice

20 sec

1 pt

Using exponents, simplify the following expression:

z^-3* z⁶ * z^-3

z⁶

z⁵⁴

1/z⁶

26.

Multiple Choice

20 sec

1 pt

Simplify the following expression:

(xyz)⁰ =

xyz

-1

27.

Multiple Choice

20 sec

1 pt

Using exponents, simplify the following expression:

(f^-6)(f¹⁰)

f¹⁶

f⁴

1/f⁴

1/f¹⁶

28.

Multiple Choice

20 sec

1 pt

Simplify the following expression:

-9⁰

-9

-1

29.

Multiple Choice

20 sec

1 pt

Simplify the following expression:

(-12)⁰

-1

-12

30.

Multiple Choice

30 sec

1 pt

Rewrite using positive exponents

2⁴

1/2⁴

4²

1/4²

31.

Multiple Select

45 sec

1 pt

Select ALL solutions that are equivalent to the following expression:

3^-5 * 3²

3^-10

3^-3

1/3¹⁰

1/3³

32.

Multiple Choice

1 min

1 pt

Using exponents, simplify the following expression:

(6²)³ * 6⁴

_______________

6⁸

6²

6¹⁶

6¹⁷

33.

Multiple Choice

30 sec

1 pt

simplify 7^-2

1/7²= 1/49

-49

-14

1/14

34.

Multiple Choice

30 sec

1 pt

Simplify and leave in exponent form
8²/8⁵

8³

8^2-5 = 8^-3 = 1/8³

8^-3

8⁷

35.

Multiple Choice

30 sec

1 pt

which is/are equivalent to 5⁵ ?
5⁴⋅5⁰5⁴⋅5¹ 5⁴⋅5² 5⁶⋅5^-¹

5⁴⋅5⁰5⁴⋅5¹

5⁴⋅5¹ 5⁴⋅5²

5⁴⋅5² 5⁶⋅5^-¹

5⁴⋅5¹ 5⁶⋅5^-¹

36.

Multiple Choice

1 min

1 pt

How would you write 4.3756 x 10⁴in standard form?

437,560,000

0.00043756

43,756

4,3756

37.

Multiple Choice

1 min

1 pt

How would you write 0.0005 in scientific notation?

50 x 10⁵

5 x 10⁴

5 x 10³

.5 x 10³

38.

Multiple Choice

1 min

1 pt

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

0.0056

-5,600

0.00056

-0.0056

39.

Multiple Choice

30 sec

1 pt

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

True

False

40.

Multiple Choice

30 sec

1 pt

Scientific Notation is made up of two number parts. The second part is a power of base 10.

True

False

41.

Multiple Choice

30 sec

1 pt

When writing a number in scientific notation, the first number must be greater than 1, but less than 10.

False

True

42.

Multiple Choice

1 min

1 pt

How do you write
1001
in scientific notation?

1.0001 x 10⁴

1.01 x 10⁵

1.001 x 10³

10.1 x 10³

43.

Multiple Choice

1 min

1 pt

How do you write
8.317 x 10⁶in standard form?

8, 371, 000

83, 170, 000

837, 100

8, 317, 000

44.

Multiple Choice

1 min

1 pt

Which of the following is correct scientific notation?

20.35 x 10⁴

.2035 x 10⁴

2035⁴

2.035 x10⁴

45.

Multiple Choice

1 min

1 pt

Express the following in scientific notation:
.000457

457 x 10⁶

457 x 10^-6

4.57 x10⁴

4.57 x 10^-4

46.

Multiple Choice

1 min

1 pt

Convert to scientific notation:
520,000,000

52 x 10⁷

5.2 x 10⁷

5.2 x 10⁸

0.52 x 10⁹

47.

Multiple Choice

30 sec

1 pt

UNDERSTANDING
If the exponent is a positive number...

you will get a large number

you will get a smaller number

48.

Multiple Choice

30 sec

1 pt

UNDERSTANDING
If the exponent is a negative number...

you will get a large number

you will get a small number

49.

Multiple Choice

5 mins

1 pt

Add withing scientific notation
(5.2 x 10⁷) + (3.01 x 10⁴)

5.20301 x 10¹¹

.520301 x 10⁷

5.20301 x 10⁷

5.20301 x 10⁸

50.

Multiple Choice

5 mins

1 pt

Subtract withing scientific notation
(7.32 x 10⁶) - (4.01 x 10⁸)

-3.937 x 10⁸

3.937 x 10⁸

3.937 x 10⁷

3.937 x ⁻²

51.

Multiple Choice

5 mins

1 pt

Add withing scientific notation
(5.2 x 10⁷) + (3.01 x 10⁴)

5.20301 x 10¹¹

.520301 x 10⁷

5.20301 x 10⁷

5.20301 x 10⁸

52.

Multiple Choice

5 mins

1 pt

Which is the largest?
4.8 x 10^-6
1.3 x 10²⁰3.1 x 10^-49.2 x 10^-59.5 x 10³²5.9 x 10^-52.9 x 10²¹8.4 x 10¹⁹

9.5 x 10³²

3.1 x 10^-4

8.4 x 10¹⁹

4.8 x 10^-6

53.

Multiple Choice

5 mins

1 pt

Write the answer in scientific notation.
5 x 10⁸ - 3.4 x 10⁸ =

2.4 x 10⁸

2.4 x 10⁰

1.6 x 10⁰

1.6 x 10⁸

54.

Multiple Choice

2 mins

1 pt

The population of China is 1.3 x 10⁹ and the population of the world is 6.4 x 10⁹. What is the difference between the population of the entire world and the population of China?

7.7 x 10¹⁸

7.7 x 10⁹

5.1 x 10¹⁸

5.1 x 10⁹

55.

Multiple Choice

5 mins

1 pt

(2 x 10⁹)(4 x 10^-4)

8 x 10¹³

8 x 10³⁶

8 x 10⁵

8 x 10^-36

56.

Multiple Choice

5 mins

1 pt

(5 x 10⁶)(5 x 10⁷)

2.5 x 10¹²

2.5 x 10¹⁴

25 x 10¹²

25 x 10¹³

57.

Multiple Choice

5 mins

1 pt

19 x 10⁵

1.9 x 10⁵

1.9 x 10⁴

1.9 x 10⁶

58.

Multiple Choice

5 mins

1 pt

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles?

4.3092 x 10¹

3.9098 x 10⁷

3.9098 x 10⁸

5.7678 x 10⁸

59.

Multiple Choice

5 mins

1 pt

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?

3.326 x 10⁵

3.326 x 10⁶

1.99 x 10³⁰

1.99 x 10⁶

60.

Multiple Choice

5 mins

1 pt

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

1.271 x 10¹⁰

1.271 x 10⁹

1.271 x 10¹¹

1.271 x 10⁸

61.

Multiple Choice

30 sec

1 pt

3. In the year 2000, the United States public debt was about 5.6 x 10¹² dollars. The population of the United States in that year was about 2.8 x 10⁸ people. What was the average debt per person?

Add

Subtract

Multiply

Divide

62.

Multiple Choice

30 sec

1 pt

5. The Colorado Department of Education spent about 4.408 x 10⁹ in fiscal year 2004-2005 on public schools. There were about 7.6 x 10⁵ students enrolled in public school. What was the average spending per student?

Add

Subtract

Multiply

Divide

63.

Multiple Choice

5 mins

1 pt

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

1 x 10^-8

1 x 10^-4

1 x 10⁴

1 x 10⁸

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