Free Printable Exponent rules/Scientific Notation

1.

r²⋅ r

a)

r³

b)

r²

c)

2r³

d)

11r²

2.

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

a)

x⁶

b)

6x

c)

x³

d)

6x⁶

3.

x^{20 .} x¹⁰

a)

x³⁰

b)

x²⁰⁰

c)

2x³⁰

d)

x¹⁰

4.

If the bases are the same, then you....

a)

Multiply the exponents

b)

Subtract the exponents

c)

Add the exponents

d)

Divide the exponents

5.

4²* 4²

a)

16⁴

b)

4²

c)

4⁴

d)

8²

6.

2 * 2² *2²

a)

2⁴

b)

8⁴

c)

36

d)

2⁵

7.

When multiplying two powers that have the same base, you can ___________ the exponents.

a)

Subtract

b)

Divide

c)

Add

d)

Multiply

8.

What is the base in 2⁸ ?

a)

8

b)

2

9.

6r *5r²

a)

30r³

b)

30r²

c)

11r³

d)

11r²

10.

7v³*10u³v⁵

a)

70u³v⁶

b)

17u³v⁸

c)

70u³v⁸

d)

none of the above

11.

7u²v⁵ * 9uv³

a)

16u²v⁸

b)

63u³v¹⁵

c)

63uv⁸

d)

63u³v⁸

12.

uv * 4uv⁵

a)

4u²v⁶

b)

u²v⁶

c)

2u*4v

d)

4uuvvv

13.

What is the exponent form for the factors
5 x 5 x 5?

a)

3⁵

b)

5³

14.

Exponents use.....

a)

repeated addition

b)

repeated division

c)

repeated multiplication

d)

repeated subtraction

15.

What is equivalent to

3x^2y\cdot6xy^3

a)

$9x^3y^4$

b)

$9x^3y^3$

c)

$18x^3y^4$

d)

$18x^3y^3$

16.

What is equivalent to

5m^4n^3\cdot8m^5n^4z

a)

$40m^9n^7$

b)

$13m^8n^7z$

c)

$13m^9n^7z$

d)

$40m^9n^7z$

17.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

18.

Multiply

2^9\cdot2^4

a)

$4^{13}$

b)

$2^{13}$

c)

$2^{36}$

d)

$4^{36}$

19.

a)

1¹⁰

b)

1²⁶

c)

z¹⁰

d)

z²⁶

20.

a)

y¹⁴

b)

y¹⁰

c)

1¹⁴

d)

1¹⁰

21.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

22.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

23.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

24.

x⁵⁄x³

a)

x²

b)

x

c)

1

d)

x⁸

25.

What is another way to write 5⁴?

a)

5 × 4

b)

4 × 4 × 4 × 4 × 4

c)

5 × 5 × 5 × 5

d)

5 + 5 + 5 + 5

26.

a)

5⁸

b)

5⁶

c)

5²

d)

1

27.

7⁰

a)

1

b)

7

c)

0

d)

-7

28.

a)

a

b)

b

29.

In 2³what is the base?

a)

2

b)

3

c)

2³

30.

If the exponent on your power of 10 is positive, is your number larger or smaller than 10?

a)

Larger

b)

Smaller

31.

7.82 x 10^-⁶ is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

a)

Large

b)

Small

c)

Basic

32.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

33.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

34.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

35.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

36.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

37.

Try to change the number back to standard form: 6.79 x 10⁴

a)

679,000

b)

6,790

c)

67,900

d)

6,790,000

38.

Try to change the number back to standard form: 3.97 x 10^-2

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

39.

Any expression raised to the zero power is...?

a)

0

b)

1

c)

2

d)

negative

40.

$m^0\ =\$

a)

10

b)

m

c)

1

d)

0

41.

$x^0\ =\$

a)

1

b)

y

c)

x

d)

0

42.

$7^0\ =\$

a)

7

b)

0

c)

70

d)

1

43.

$5^0\ =\$

a)

1

b)

5

c)

50

d)

0

44.

Solve 5^-2

a)

-10

b)

1/25

c)

1/(5)²

d)

-1/10

45.

3⁻⁴

a)

1 ⁄ 81

b)

-81

c)

81

d)

1 ⁄ 12

46.

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

47.

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

48.

Solve 3^-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

49.

Simplify

a)

42x⁵

b)

-42/x⁵

c)

42/x^-⁵

d)

42/x⁵

50.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

51.

a)

0

b)

3

c)

1

d)

-1

52.

$n^{-1}$

a)

$\frac{1}{n}$

b)

1

c)

$\frac{n}{1}$

d)

$n$

53.

$6n^{-1}$

a)

$6n$

b)

$\frac{n}{1}$

c)

$\frac{6}{n}$

d)

$\frac{n}{6}$

54.

$6x^{-2}$

a)

$\frac{x}{6}$

b)

$\frac{6}{x^2}$

c)

$\frac{x^2}{6}$

55.

(5²)³

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

56.

Which of the following is the correct way to simplify this expression?
$\left(a^mb^n\right)^p$

a)

$ab^{m\cdot n\cdot p}$

b)

$a^{m\cdot p}\ b^{n\cdot p}$

c)

$a^mb^n$

57.

Simplify the following:
$\left(r^7s^3\right)^3$

a)

$r^7s^9$

b)

$r^{21}s^9$

c)

$r^{21}s^3$

58.

Simplify the following:
$\left(abc^5\right)^5$

a)

$a^5b^5c^{25}$

b)

$a^5b^5c^5$

c)

$abc^{25}$

59.

Simplify the following:
$\left(4x^3y^2\right)^2$

a)

$16x^3y^2$

b)

$4x^6y^4$

c)

$16x^6y^4$

60.

Simplify the following:
$\left(\frac{x^2}{y^3}\right)^4$

a)

$\frac{x^8}{y^{12}}$

b)

$\frac{x^6}{y^7}$

c)

$x^8y^{12}$

61.

Simplify the following:
$\left(\frac{x^2y}{z^3}\right)^5$

a)

$\frac{x^{10}y^5}{z^{15}}$

b)

$\frac{x^{10}y}{z^{15}}$

c)

$\frac{x^{10}y}{z^3}$

Exponent rules/Scientific Notation

Total questions: 61

Worksheet time: 1hrs 4mins

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