Free Printable AM8 - QUIZ Review over Exponents and Scientific Notation

1.

When we multiply like bases, what do we do with the exponents?

a)

add them

b)

subtract them

c)

multiply them

d)

divide them

2.

We subtract exponents when we do what to like bases?

a)

add them

b)

subtract them

c)

multiply them

d)

divide them

3.

a³a⁴ = ?

a)

a⁷

b)

a¹²

c)

a³⁴

d)

already simplified!

4.

n²n⁹ = ?

a)

n¹⁸

b)

n¹¹

c)

n²⁹

d)

already simplified!

5.

$\frac{m^{12}}{m^3}\ =\ \ ?$

a)

$m^9$

b)

$m^4$

c)

$m^{15}$

d)

already simplified!

6.

$\frac{a^5b^{20}}{ab^4}=\ ?$

a)

$a^5b^{16}$

b)

$a^5b^5$

c)

$a^4b^5$

d)

$a^4b^{16}$

7.

c⁵d⁸ = ?

a)

c¹³

b)

c⁴⁰

c)

c⁵⁸

d)

already simplified!

8.

Negative Exponents do not give us Negative Numbers. Instead, Negative Exponents give us what?

a)

Perfect Squares

b)

Irrational Numbers

c)

Fractions

d)

Imaginary Numbers

9.

Any nonzero number raised to the zero power will equal what?

a)

0

b)

1

c)

Undefined

d)

The number itself

10.

Zero raised to the zero power (or any negative power for that matter) will be what?

a)

0

b)

1

c)

The power itself

d)

Undefined

11.

$8^{-2}\ \ =\ \ ?$

a)

$-64$

b)

$\frac{1}{16}$

c)

$\frac{1}{64}$

d)

$-16$

12.

$3^{-4}\ \ =\ \ ?$

a)

$\frac{1}{81}$

b)

$-\frac{1}{81}$

c)

$\frac{1}{12}$

d)

$-\frac{1}{12}$

13.

$67^{-1}=\ \ ?$

a)

$\frac{1}{66}$

b)

$\frac{1}{67}$

c)

$-66$

d)

$-67$

14.

$9^0\ \ =\ \ ?$

a)

0

b)

$\frac{1}{9}$

c)

1

d)

Undefined

15.

0^-5 = ?

a)

0

b)

1

c)

-5

d)

Undefined

16.

$\left(-7\right)^{-2}\ \ =\ \ ?$

a)

$\frac{1}{14}$

b)

$-\frac{1}{49}$

c)

$-\frac{1}{14}$

d)

$\frac{1}{49}$

17.

$-7^{-2}\ \ =\ \ ?$

a)

$\frac{1}{14}$

b)

$-\frac{1}{49}$

c)

$-\frac{1}{14}$

d)

$\frac{1}{49}$

18.

$\left(-2\right)^{-5}\ \ =\ \ ?$

a)

$\frac{1}{10}$

b)

$-\frac{1}{32}$

c)

$-\frac{1}{10}$

d)

$\frac{1}{32}$

19.

$-2^{-5}\ \ =\ \ ?$

a)

$\frac{1}{10}$

b)

$-\frac{1}{32}$

c)

$-\frac{1}{10}$

d)

$\frac{1}{32}$

20.

$23^0\ \ =\ \ ?$

a)

0

b)

$\frac{1}{23}$

c)

1

d)

Undefined

21.

$10^{-4}\ \ =\ \ ?$

a)

$\frac{1}{10,000}$

b)

$\frac{1}{40}$

c)

$-10,000$

d)

$-40$

22.

$0^0\ \ =\ \ ?$

a)

0

b)

100

c)

1

d)

Undefined

23.

$n^{-3}\ \ =\ \ ?$

a)

-3n

b)

$\frac{1}{3n}$

c)

$\frac{1}{n^3}$

d)

$-n^3$

24.

$d^6e^{-8}\ \ =\ \ ?$

a)

$\frac{d^6}{e^8}$

b)

$\frac{1}{d^6e^8}$

c)

$-d^6e^8$

d)

$de^{-2}$

25.

$a^{-2}b^{-7}\ \ =\ \ ?$

a)

$\frac{a^2}{b^7}$

b)

$\frac{1}{a^2b^7}$

c)

$a^2b^7$

d)

$ab^{-9}$

26.

Simplify $u^{-4}u^3$ as much as possible!

a)

$u^{-1}$

b)

$-u$

c)

$u^{-12}$

d)

$\frac{1}{u}$

27.

Simplify $\frac{p^{-3}}{p^5}$ as much as possible!

a)

$p^{-8}$

b)

$-8p$

c)

$\frac{1}{p^8}$

d)

$-p^8$

28.

$9c^{-5}\ \ =\ \ ?$

a)

$\frac{9}{c^5}$

b)

$-9c^5$

c)

$-45c$

d)

$\frac{1}{9c^5}$

29.

Very large and very small numbers can require a tremendous amount of space to write them out. For this, we use what . . . ?

a)

Imaginary Exponents

b)

Scientific Notation

c)

Cube Roots

d)

Gigantic Sheets of Paper

30.

In scientific notation, how many nonzero digits are you allowed before the decimal point in your leading coefficient?

a)

0

b)

1

c)

2

d)

as many as you want!

31.

In scientific notation, the exponent on the 10 determines what?

a)

It determines whether the number is positive or negative.

b)

It determines exactly how many zeros the number will have in standard form.

c)

It determines how far and which way the decimal point must move to write the number in standard form.

d)

It doesn't actually determine anything specific.

32.

5.13 x 10⁴ = ?

a)

51,300

b)

5,130,000

c)

0.000513

d)

0.0000513

33.

5.13 x 10^-4 = ?

a)

51,300

b)

5,130,000

c)

0.000513

d)

0.0000513

34.

0.0000067 = ?

a)

6.7 x 10⁶

b)

6.7 x 10⁵

c)

6.7 x 10^-5

d)

6.7 x 10^-6

35.

981,000,000 = ?

a)

9.81 x 10⁶

b)

9.81 x 10⁸

c)

9.81 x 10^-6

d)

9.81 x 10^-8

36.

3 thousand = ?

a)

3 x 10³

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-3

37.

3 thousandths = ?

a)

3 x 10³

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-3

38.

In (6.2 x 10⁵)(7 x 10³), what do you do with the 6.2 and the 7?

a)

add

b)

subtract

c)

multiply

d)

divide

39.

In (6.2 x 10⁵)(7 x 10³), what do you do with the 5 and the 3?

a)

add

b)

subtract

c)

multiply

d)

divide

40.

In $\frac{3.6\ x\ 10^{11}}{9\ x\ 10^4}$ what do you do with the 3.6 and the 9?

a)

add

b)

subtract

c)

multiply

d)

divide

41.

In $\frac{3.6\ x\ 10^{11}}{9\ x\ 10^4}$ what do you do with the 11 and the 4?

a)

add

b)

subtract

c)

multiply

d)

divide

42.

Compute (6.2 x 10⁵)(7 x 10³) and write your answer in scientific notation.

a)

4.34 x 10⁹

b)

43.4 x 10⁸

c)

4.34 x 10¹⁶

d)

43.4 x 10¹⁵

43.

Compute $\frac{3.6\ x\ 10^{11}}{9\ x\ 10^4}$ and write your answer in scientific notation.

a)

$0.4\ x\ 10^7$

b)

$0.4\ x\ 10^{15}$

c)

$4\ x\ 10^{14}$

d)

$4\ x\ 10^6$

44.

$15^0\ \ =\ \ ?$

a)

1

b)

$\frac{1}{15}$

c)

0

d)

Undefined

45.

$0^{12}\ \ =\ \ ?$

a)

0

b)

100

c)

1

d)

Undefined

46.

$s^{-2}a^{11}\ \ =\ \ ?$

a)

$\frac{a^{11}}{s^2}$

b)

$\frac{1}{s^2a^{11}}$

c)

$\frac{s^2}{a^{11}}$

d)

$sa^9$

47.

1 x 10⁶ = ?

a)

100,000

b)

0.000001

c)

1,000,000

d)

6,000,000

48.

(-1)^-99

a)

0

b)

1

c)

-1

d)

Undefined

49.

-8⁰ = ?

a)

-1

b)

0

c)

1

d)

Undefined

50.

$1^{-517}$

a)

-517

b)

$\frac{1}{517}$

c)

$-\frac{1}{517}$

d)

1

51.

Compute (3 x 10⁷)(2 x 10⁸) and write your answer in scientific notation.

a)

6 x 10⁵⁶

b)

6 x 10¹⁵

c)

3.2 x 10¹⁶

d)

3.2 x 10⁵⁷

52.

Compute (7 x 10⁸)(5 x 10²) and write your answer in scientific notation.

a)

35 x 10¹⁰

b)

35 x 10¹⁶

c)

3.5 x 10¹¹

d)

3.5 x 10¹⁷

53.

Compute $\frac{8\ x\ 10^{18}}{2\ x\ 10^2}$ and write your answer in scientific notation.

a)

$4\ x\ 10^{16}$

b)

$6\ x\ 10^9$

c)

$4\ x\ 10^9$

d)

$6\ x\ 10^{16}$

54.

Compute $\frac{2\ x\ 10^{20}}{8\ x\ 10^{-5}}$ and write your answer in scientific notation.

a)

$4\ x\ 10^{25}$

b)

$4\ x\ 10^{-4}$

c)

$2.5\ x\ 10^{24}$

d)

$2.5\ x\ 10^{-5}$

55.

$\left(-2x\right)^{-3}$ = ?

a)

$-\frac{1}{8x^3}$

b)

$\frac{-8}{x^3}$

c)

$-8x^3$

d)

$\frac{3}{8x}$

56.

$\left(-3x\right)^{-2}$ = ?

a)

$-\frac{1}{9x^2}$

b)

$-\frac{3}{x^2}$

c)

$\frac{9}{x^2}$

d)

$\frac{1}{9x^2}$

AM8 - QUIZ Review over Exponents and Scientific Notation

Total questions: 56

Worksheet time: 28mins

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