Free Printable ស្វ័យគុណ (01)

1.

$yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}$

a)

$x^{\frac{4}{3}}y^{\frac{5}{2}}$

b)

$x^{\frac{2}{3}}y^{\frac{1}{2}}$

c)

$x^{\frac{1}{3}}y^{\frac{3}{2}}$

d)

$x^{\frac{2}{3}}y^{\frac{4}{3}}$

2.

Simplify . Your answer should contain only positive exponents. $4v^{\frac{2}{3}}\cdot v^{-1}$

a)

$4v^{\frac{1}{3}}$

b)

$\frac{4}{v^{\frac{1}{3}}}$

c)

$\frac{v^{\frac{1}{3}}}{4}$

d)

$\frac{1}{4v^{\frac{1}{3}}}$

3.

Simplify . Your answer should contain only positive exponents. $\left(a^{\frac{1}{2}}b^{\frac{1}{2}}\right)^{-1}$

a)

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

b)

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

c)

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

d)

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

4.

Simplify . Your answer should contain only positive exponents. $\left(x^{\frac{5}{3}}y^{-2}\right)^0$

a)

$1$

b)

$\frac{x^{\frac{5}{3}}}{y^2}$

c)

$x^{\frac{5}{3}}y^2$

d)

$\frac{y^2}{x^{\frac{5}{3}}}$

5.

Simplify . Your answer should contain only positive exponents. $\frac{a^2b^0}{3a^4}$

a)

$1$

b)

$\frac{1}{3a^2}$

c)

$\frac{a^2}{3a^4}$

d)

$\frac{1}{3a^4}$

6.

Simplify . Your answer should contain only positive exponents. $\frac{2x^{\frac{1}{2}}y^{\frac{1}{3}}}{2x^{\frac{4}{3}}y^{-\frac{7}{4}}}$

a)

$\frac{y^{\frac{25}{12}}}{x^{\frac{5}{6}}}$

b)

$\frac{x^{\frac{5}{6}}}{y^{\frac{25}{12}}}$

c)

$\frac{2y^{\frac{25}{12}}}{x^{\frac{5}{6}}}$

d)

$\frac{y^{\frac{17}{12}}}{x^{\frac{5}{6}}}$

7.

Simplify . Your answer should contain only positive exponents. $\left(x^0y^{\frac{1}{3}}\right)^{\frac{3}{2}}x^0$

a)

$y^{\frac{1}{2}}$

b)

$1$

c)

$y^{\frac{4}{3}}$

d)

$0$

8.

Simplify . Your answer should contain only positive exponents. $\frac{a^{\frac{3}{4}}b^{-1}\cdot b^{\frac{7}{4}}}{3b^{-1}}$

a)

$\frac{a^{\frac{3}{4}}b^{\frac{7}{4}}}{3}$

b)

$\frac{a^{\frac{3}{4}}b^{\frac{3}{4}}}{3}$

c)

$a^{\frac{3}{4}}b^{\frac{7}{4}}$

d)

$3a^{\frac{3}{4}}b^{\frac{7}{4}}$

9.

Simplify . Your answer should contain only positive exponents. $u^{-\frac{5}{4}}v^2•\left(u^{\frac{3}{2}}\right)^{-\frac{3}{2}}$

a)

$\frac{v^2}{u^{\frac{7}{2}}}$

b)

$\frac{v^2}{u^{\frac{5}{2}}}$

c)

$\frac{v^2}{u^{\frac{5}{4}}}$

d)

$v^2$

10.

Simplify . Your answer should contain only positive exponents. $\frac{3y^{-\frac{5}{4}}}{y^{-1}•2y^{-\frac{1}{3}}}$

a)

$\frac{3y^{\frac{1}{12}}}{2}$

b)

$\frac{3y^{\frac{19}{12}}}{2}$

c)

$\frac{3}{2y^{\frac{1}{12}}}$

d)

$\frac{3}{2y^{\frac{19}{12}}}$

11.

Simplify . Your answer should contain only positive exponents. $\frac{\left(m^2n^{\frac{1}{2}}\right)^0}{n^{\frac{3}{4}}}$

a)

$1$

b)

$n^{\frac{3}{4}}$

c)

$\frac{1}{n^{\frac{3}{4}}}$

d)

$\frac{1}{n^{\frac{4}{3}}}$

12.

Simplify . Your answer should contain only positive exponents. $\left(6b\right)^{\frac{-4}{3}}$

a)

$\frac{1}{6^{\frac{4}{3}}b^{\frac{4}{3}}}$

b)

$\frac{6}{b^{\frac{4}{3}}}$

c)

$\frac{b^{\frac{4}{3}}}{6}$

d)

$\frac{6^{\frac{4}{3}}}{b^{\frac{4}{3}}}$

13.

Simplify: $2^{-4}$

a)

$-8$

b)

$-16$

c)

$-\frac{1}{8}$

d)

$\frac{1}{16}$

14.

$x^{-7}$

a)

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

b)

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

c)

$x^7$

d)

$7x$

15.

Rewrite using a Positive Exponent: $5n^{-9}$

a)

$-5n^9$

b)

$-\frac{5}{n^9}$

c)

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

d)

$-45n$

16.

$\frac{1}{w^{-2}}$

a)

$w^2$

b)

$-2w$

c)

$\frac{2}{w}$

d)

$\frac{1}{w^2}$

17.

Simplify: $x^3\ \cdot\ x^{-3}$

a)

$x^{0\ }=\ \ 1$

b)

$x^{-1\ \ }=\ \ \frac{1}{x}$

c)

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

d)

$2x^0=\ 2$

18.

Simplify: $\frac{x^{-3}}{x^{-7}}$

a)

$x^{21}$

b)

$x^4$

c)

$\frac{1}{x^{21}}$

d)

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

19.

$\frac{x^5y^{-6}z}{x^{-3}y^{ }z^{-3}}$

a)

$\frac{x^8z^4}{y^7}$

b)

$\frac{x^2z^3}{y^5}$

c)

$\frac{x^8}{y^7z^4}$

d)

$\frac{x^2}{y^5z^2}$

20.

How would you change this to a positive exponent:
1/x^-3

a)

1/x³

b)

x³

c)

3x

d)

1/3x

21.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

22.

-3xy³ . (4xy)²

a)

-12x³y⁵

b)

-48x²y⁴

c)

-48x³y⁵

d)

-12x²y⁶

23.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

24.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

25.

Simplify
(-7y²)(5y⁴)

a)

-35y⁶

b)

-2y⁶

c)

-35y⁸

d)

-2y⁸

26.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

27.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

28.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

29.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

30.

(-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

31.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

32.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

33.

x⁵⁄x³

a)

x²

b)

x

c)

1

d)

x⁸

34.

Simplify
x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

35.

3³ ⋅ 3

a)

3⁴

b)

3³

c)

3⁰

d)

1 ⁄ 3⁴

36.

7⁵⁄7³

a)

7²

b)

7

c)

1

d)

7⁸

37.

5^-2

a)

-10

b)

1/25

c)

1/10

d)

-1/10

38.

Simplify
m⁵⋅m²

a)

m⁷

b)

m³

c)

m¹⁰

d)

m²

39.

Simplify
(y³)⁵

a)

y¹⁵

b)

y⁸

c)

y⁻²

d)

y

40.

Simplify
x⁰

a)

x

b)

⁰

c)

1

d)

Undefined

41.

-14x⁷/7x

a)

-2x⁶

b)

-2x

c)

-2x⁵

d)

-2x⁸

42.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

43.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

44.

a)

b)

2x²z⁴

c)

3x²y⁵z⁴

d)

45.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

46.

a)

b)

c)

d)

47.

a)

$\frac{16x^{16}z^{32}}{y^{28}}$

b)

$\frac{-16x^{16}z^{32}}{y^{28}}$

c)

$\frac{x^{16}z^{32}}{16y^{28}}$

d)

$-8x^{-8}y^3z^{-12}$

48.

$\left(\frac{-8p^{10}}{7r^3}\right)^{^2}$

a)

-64p²⁰/ 49r⁶

b)

64p²⁰/ 49r⁶

c)

-8p²⁰/ 14r⁶

d)

-64p¹²/ 49r⁵

49.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

50.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

51.

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

52.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

53.

Anything (other than zero) raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

54.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

55.

Simplify so there are no negative exponents in the answer.

\left(3n^3\right)^{-3}

a)

$\frac{1}{27n^9}$

b)

$\frac{-27}{n^9}$

c)

$\frac{-27}{n^6}$

d)

$\frac{-9}{n^6}$

56.

Simplify so there are no negative exponents in the answer.

\frac{3x^3\cdot4x^4}{x^2}

a)

$12x^5$

b)

$12x^9$

c)

$7x^5$

d)

$7x^4$

57.

Simplify so there are no negative exponents in the answer.

\left(x^4\right)^2x^{-3}

a)

$x^5$

b)

$\frac{1}{x^{18}}$

c)

$-x^5$

d)

$\frac{1}{x^{15}}$

58.

Simplify so there are no negative exponents in the answer.

$\frac{3x^0y^{-3}\cdot2x^4y^2}{2x^4}$

a)

$\frac{3}{y}$

b)

$\frac{6}{x^4y^6}$

c)

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

d)

$\frac{3x}{y}$

59.

$\frac{\left(2m^3n^2\right)^02m^3n^{-3}}{n^3}$

Simplify so there are no negative exponents in the answer.

a)

$\frac{2m^3}{n^{6^{ }}}$

b)

$2m^3$

c)

$4m^6n^2$

d)

$2m^6n^2$

60.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^{-4}}{y^3}$

61.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

62.

When more than one base is inside parentheses, the power outside the parentheses should be ___________.

a)

added to each base's power inside

b)

subtracted from each base's power inside

c)

multiplied with each base's power inside

d)

divided by each base's power inside

63.

To make a negative exponent positive, you have to ___________________.

a)

put it in parentheses

b)

switch the base and the exponent

c)

add 10

d)

move the base and exponent to the other side of the fraction bar

64.

Which Expression is equivalent to (144k²r¹⁴)^1/2 for all positive values of k and r?

a)

12kr⁷

b)

72kr⁷

c)

144kr⁷

d)

12k²r¹⁴

65.

Which expression is equivalent to the expression for all values of q where the expression is defined?

a)

q²⁷

b)

1/q²⁷

c)

q³

d)

1/q³

66.

Which answer is the given expression fully simplified?

a)

32q⁷/w

b)

20q¹⁷w⁹

c)

32q⁷w⁹

d)

20qw

67.

The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴ yards, which expression represents the width of the rectangle in yards?

a)

9x³y²

b)

48x⁶y⁴

c)

9x⁶y⁴

d)

60x¹²y¹²

68.

The expression (x³)(x^-17) is equivalent to xⁿ. What is the value of n?

a)

n = 20

b)

n = -14

c)

n = -51

d)

n = 14

69.

Which expression is equivalent to (7x³)²(x⁸)^1/2?

a)

14x¹⁰

b)

49x¹⁰

c)

14x⁷

d)

49x⁷

70.

Which expression is equivalent to the given expression?

a)

b)

c)

d)

71.

A circle has a radius of 6x⁹y⁵ cm. The area of a circle can be found using the equation in the picture. What is the are of this circle in square centimeters?

a)

b)

c)

d)

72.

Which expression is equivalent to the following expression?

(13x²y^-7z⁴)⁰

a)

x²z⁴/y⁷

b)

13x²z⁴/y⁷

c)

13

d)

1

73.

Simplify the expression (ab⁴)(2ab⁴)^-3

a)

b)

c)

d)

74.

la puissance de 10 correspondant à micro est :

a)

10^-6

b)

10⁶

c)

10^-3

75.

la puissance de 10 correspondant à milli est :

a)

10^-3

b)

10^-6

c)

10³

76.

la puissance de 10 correspondant à centi est :

a)

10^-2

b)

10^-3

c)

10²

77.

la puissance de 10 correspondant à kilo est :

a)

10^-2

b)

10^-3

c)

10²

d)

10³

78.

Lorsque la calculatrice répond le nombre 6,23 E 5 ; elle répond le nombre :

a)

6,23 x 10⁵

b)

6,23⁵

c)

6,23 Erreur 5

79.

89 x 10^-3 m est égal à :

a)

89 mm

b)

89 km

c)

89 cm

d)

89 μm

80.

la durée 428 ms s'écrit également

a)

428 x 10^-3 s

b)

428 x 10³ s

c)

428 x 10^-6 s

d)

428 x 10^-2 s

81.

Une longueur de 4,8 cm peut s'écrire également :

a)

4,8 x 10^-2 m

b)

4,8 x 10^-3 m

c)

4,8 x 10^-6 m

d)

4,8 x 10³ m

82.

Un son a une fréquence de 2586 kHz, cette fréquence peut s'écrire :

a)

2586 x 10³ Hz

b)

2586 x 10^-3 Hz

c)

2586 x 10^-2 Hz

d)

2586 x 10^-6 Hz

83.

Un cheveu a un diamètre de 120 μm, ce nombre peut également s'écrire :

a)

120 x 10^-6 m

b)

120 x 10^-3 m

c)

120 x 10^-2 m

d)

120 x 10³ m

84.

a)

4¹²

b)

4⁷

c)

16⁷

d)

16¹²

85.

a)

28⁶

b)

28¹⁰

c)

28^-16

d)

28¹⁶

86.

a)

5¹⁴

b)

5^-2

c)

5²

d)

0

87.

a)

2^-1

b)

2¹

c)

2^-21

d)

2²¹

88.

a)

10^-3

b)

10^-15

c)

10¹

d)

10^-28

89.

2² =

a)

2

b)

4

c)

8

d)

16

90.

3² =

a)

5

b)

6

c)

9

d)

32

91.

1² =

a)

0

b)

1

c)

2

d)

12

92.

8² =

a)

64

b)

72

c)

58

d)

16

93.

9² =

a)

18

b)

72

c)

81

d)

99

94.

10² =

a)

20

b)

50

c)

100

d)

1000

95.

25³ =

a)

25 x 3

b)

25 + 25 +25

c)

25 + 3

d)

25 x 25 x 25

96.

la notation scientifique de 20 000 est

a)

2,0 x 10⁵

b)

2,0 x 10^-5

c)

2,0 x 10⁴

d)

2,0 x 10^-4

97.

La notation scientifique de 531,2 est

a)

5,312 x 10³

b)

53,12 x 10²

c)

0,5312 x 10⁴

d)

5,312 x 10²

98.

La notation scientifique de 0,012 est

a)

1,2 x 10²

b)

1,2 x 10^-2

c)

12 x 10³

d)

12 x 10^-3

99.

La notation scientifique de 0,000 0052 est

a)

5,2 x 10⁶

b)

5,2 x 10^-6

c)

5,2 x 10⁵

d)

5,2 x 10^-5

100.

(-3)² x (-3)³ =

a)

3⁵

b)

3⁶

c)

(-3)⁵

d)

(-3)⁶

ស្វ័យគុណ (01)

Total questions: 100

Worksheet time: 4hrs 53mins

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