Free Printable Exponent & Scientific Notation Common Assessment Review

1.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

2.

Using exponents, simplify the following expression

a)

x^-7

b)

1/x⁷

c)

x⁷

d)

x^-9

3.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

4.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10⁴

d)

.5 x 10^-3

5.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

6.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.008 x 10¹¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

7.

5 x 10¹²
------------
2 x 10⁶

a)

2.5 x 10²

b)

2.5 x 10⁶

c)

3 x 10²

d)

2.5 x 10¹⁸

8.

2 x 10⁵
----------
8 x 10²

a)

2.5 x 10⁴

b)

2.5 x 10²

c)

25 x 10³

d)

.25 x 10³

9.

Find the quotient: $\frac{(6.9\ \cdot\ 10^7)}{\left(2.3\ \cdot\ 10^{-3}\right)}$

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10⁵

d)

3 x 10¹¹

10.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

11.

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

a)

4

b)

2

c)

16

12.

What is the exponential form of
4 x 4 x 4 x 4 x 4 x 4

a)

6⁴

b)

4²

c)

4⁶

d)

4 x 6

13.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

b)

c)

d)

14.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

b)

c)

d)

15.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

-24x⁴y⁶

b)

12x⁴y⁵

c)

-24x⁴y²⁴

d)

-3x⁴y²

16.

a)

b)

c)

d)

17.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

18.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

19.

What is the standard form of the number?

9.4\ \times\ 10^{-3}

(a)

20.

Which is the correct scientific notation for the number?

0.00027

a)

$2.7\ \times\ 10^{-4}$

b)

$2.7\ \times\ 10^4$

c)

$2.7\ \times\ 10^{-3}$

d)

$27\ \times\ 10^2$

21.

Compare the two numbers:

$9.87\ \times\ 10^5$ _________ $8.1\ \times\ 10^6$

a)

<

b)

>

c)

=

22.

Compare the two numbers:

$3.5\ \times\ 10^3$ _________ $3.2\ \times\ 10^3$

a)

<

b)

>

c)

=

23.

The speed of light is about 300 million meters per second. Which expression shows this speed in scientific notation?

a)

300 x 10⁶

b)

300 x 10^-6

c)

3 x 10⁸

d)

3 x 10^-8

24.

There are approximately 3.1 x 10⁸ people in the United States. If on average each person has 4.1 x 10¹ coins lying around on dressers, in pockets, in cars, etc., how many total coins do all the people in the U.S. have?

a)

127.1 x 10⁸

b)

12.71 x 10⁹

c)

1.271 x 10¹⁰

d)

.1271 x 10¹¹

25.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

26.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really large or really small numbers

c)

I don't know...

d)

None of the above

27.

Which of the following numbers is written in scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

28.

How do you write 8.317 x 10⁶in standard form?

(a)

29.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

30.

Simplify the following expression:

a)

18x²⁵

b)

9x¹⁰

c)

1

d)

18x¹⁰

31.

Which of the following are equivalent to the expression 6^-3

a)

1/6³

b)

6³

c)

1/216

d)

216

32.

Simplify

a)

7⁶

b)

1/7⁵

c)

7^-5

d)

7⁵

33.

Simplify the following expression.

$\left(x^3\right)^6$

a)

$x^3$

b)

$x^9$

c)

$x^{18}$

d)

$x^2$

34.

Simplify the following expression.

$\left(2^3\right)^3$

a)

$2^1$

b)

$2^6$

c)

$2^9$

d)

$2^0$

35.

Identify the exponent in the expression below.

$10^2$

a)

2

b)

10

36.

Rewrite: 7^-5

a)

$7^5$

b)

$\frac{1}{7^{-5}}$

c)

$\frac{1}{7^5}$

d)

$\frac{1}{-7^5}$

37.

Simplify

$x^2\cdot x^8$

a)

$x^{10}$

b)

$x^{16}$

c)

$x^6$

d)

$x^4$

38.

Simplify:

$3x^4\cdot6x^6$

a)

$18x^{10}$

b)

$9x^{10}$

c)

$18x^{24}$

d)

$9x^{24}$

39.

Simplify:

$x^3\cdot y^2\cdot x^3$

a)

$x^6y^2$

b)

$xy^8$

c)

$x^8$

d)

None of the above

40.

$\left(\frac{a^3}{b^5}\right)^4$

a)

$\frac{a^{12}}{b^{20}}$

b)

$\frac{a^7}{b^5}$

c)

$\frac{a^7}{b^9}$

d)

$a^{12}b^{20}$

Exponent & Scientific Notation Common Assessment Review

Total questions: 40

Worksheet time: 2hrs 31mins

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