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ស្វ័យគុណ ភាគ២

Total questions: 92

Worksheet time: 1hrs 7mins

Name
Class
Date
1.

គណនា 4223=4^2-2^3=

a)

-8

b)

6

c)

12

d)

8

2.

29×23=2^9\times2^{-3}=

a)

12

b)

16

c)

32

d)

64

3.

35÷33=3^5\div3^3=

a)

3

b)

6

c)

9

d)

12

4.

53×52=5^3\times5^{-2}=

a)

5

b)

25

c)

15

d)

10

5.

32×36× 33=3^{-2}\times3^6\times\ 3^{-3}=

a)

3

b)

6

c)

9

d)

27

6.

(23)4×210=\left(2^3\right)^{-4}\times2^{10}=

a)

12\frac{1}{2}

b)

14\frac{1}{4}

c)

2

d)

4

7.

(13)3÷(13)4=\left(\frac{1}{3}\right)^3\div\left(\frac{1}{3}\right)^4=

a)

13\frac{1}{3}

b)

19\frac{1}{9}

c)

3

d)

9

8.

234580×103=234580\times10^{-3}=

a)

23.4580

b)

234.58

c)

23458000

d)

234580000

9.

0.000006789×106=0.000006789\times10^6=

a)

6789

b)

6.789

c)

6789000000

d)

0.000000006789

10.

123.456÷103=123.456\div10^{-3}=

a)

123456

b)

0.123456

c)

0.00123456

d)

123456000

11.

តើ 10410^4  អានយ៉ាងដូជម្តេច?

a)

4 ស្វ័យគុណ 104\ ស្វ័យគុណ\ 10  

b)

10ស្វ័យគុណ410ស្វ័យគុណ4  

c)

10 ការេ10\ ការេ  

d)

4 ការេ4\ ការេ  

12.

បើ aa  ជាចំនួនសនិទាន និង nn  ជាចំនួនគត់រ៉ឺឡាទីប គេបាន aaa...a,  na\cdot a\cdot a\cdot...\cdot a,\ \ n  កត្តា គេបាន

a)

ana^n  

b)

nan^a  

c)

ama^m  

d)

mam^a  

13.

តើ 22222=?2\cdot2\cdot2\cdot2\cdot2=?  

a)

252^5  

b)

262^6  

c)

242^4  

d)

282^8  

14.

តើ (2)3=?\left(-2\right)^3=?  

a)

6-6  

b)

8-8  

c)

88  

d)

66  

15.

បើ aa  ជាចំនួនសនិទាន m,nm,n  ជាចំនួនគត់រ៉ឺឡាទីបខុសពីសូន្យ គេបាន

a)

aman=a(mn)a^m\cdot a^n=a^{\left(m-n\right)}  

b)

aman=a(m+n)a^m\cdot a^n=a^{\left(m+n\right)}  

c)

aman=a(mn)a^m\cdot a^n=a^{\left(mn\right)}  

d)

aman=a(m÷n)a^m\cdot a^n=a^{\left(m\div n\right)}  

16.

2324=?2^3\cdot2^4=?  

a)

232^3  

b)

242^4  

c)

272^7  

d)

252^5  

17.

(13)(13)(13)=?\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)=?  

a)

13\frac{1}{3}  

b)

19\frac{1}{9}  

c)

127\frac{1}{27}  

d)

181\frac{1}{81}  

18.

102104=?10^{-2}\cdot10^4=?  

a)

10210^2  

b)

10210^{-2}  

c)

10310^{-3}  

d)

10310^3  

19.

x9x6=?x^9\cdot x^{-6}=?  

a)

x4x^{-4}  

b)

x4x^4  

c)

x3x^{-3}  

d)

x3x^3  

20.

(32)2(32)2=?\left(-\frac{3}{2}\right)^2\left(-\frac{3}{2}\right)^{-2}=?  

a)

(32)4\left(-\frac{3}{2}\right)^4  

b)

(32)4\left(-\frac{3}{2}\right)^{-4}  

c)

32-\frac{3}{2}  

d)

11  

21.

បើ a ជាចំនួនសនិទាន m,n ជាចំនួនគត់រ៉ឺឡាទីបវិជ្ជមាន aman=?បើ\ a\ ជាចំនួនសនិទាន\ m,n\ ជាចំនួនគត់រ៉ឺឡាទីបវិជ្ជមាន\ \frac{a^m}{a^n}=?  

a)

a(m+n)a^{\left(m+n\right)}  

b)

a(mn)a^{\left(m-n\right)}  

c)

a(mn)a^{\left(mn\right)}  

d)

an÷ma^{n\div m}  

22.

(102)3=?\left(10^2\right)^3=?  

a)

10210^2  

b)

10510^5  

c)

10310^3  

d)

10610^6  

23.

(a4)5aa6=?\left(a^4\right)^5\cdot a\cdot a^{-6}=?  

a)

a15a^{15}  

b)

a14a^{14}  

c)

a10a^{10}  

d)

a9a^9  

24.

a2a3=?\frac{a^2}{a^3}=?  

a)

a1a^{-1}  

b)

aa  

c)

a2a^{-2}  

d)

a2a^2  

25.

(34)3=?\left(\frac{3}{4}\right)^3=?  

a)

2764\frac{27}{64}  

b)

916\frac{9}{16}  

c)

912\frac{9}{12}  

d)

67\frac{6}{7}  

26.

2353=?2^3\cdot5^3=?  

a)

252^5  

b)

10310^3  

c)

535^3  

d)

232^3  

27.

(3xy2)3=?\left(3xy^2\right)^3=?  

a)

27x3y627x^3y^6  

b)

3x3y63x^3y^6  

c)

9x3y69x^3y^6  

d)

3xy33xy^3  

28.

(34)2=?\left(\frac{3}{4}\right)^2=?  

a)

34\frac{3}{4}  

b)

916\frac{9}{16}  

c)

2764\frac{27}{64}  

d)

81125\frac{81}{125}  

29.

3.75104=?3.75\cdot10^4=?  

a)

3750037500  

b)

375375  

c)

37503750  

d)

375000375000  

30.

128.5÷102=?128.5\div10^2=?  

a)

1.2851.285  

b)

12.8512.85  

c)

128.5128.5  

d)

0.12850.1285  

31.

103 = …

a)

10 x 10 x 10

b)

10 x 3

c)

10 + 3

d)

10 + 10 + 10

32.

105=10^5=  

a)

500

b)

10 000

c)

100 000

d)

50

33.

11000=\frac{1}{1000}=  

a)

10310^3  

b)

10310^{-3}  

c)

1103\frac{1}{10^{-3}}  

d)

-1000

34.

102=10^{-2}=  

a)

-100

b)

120\frac{1}{20}  

c)

0,010,01  

d)

10,01\frac{1}{0,01}  

35.

105×108=10^5\times10^8=  

a)

104010^{40}  

b)

101310^{13}  

c)

105810^{58}  

d)

ចម្លើយផ្សេង

36.

104×105 =10^{-4}\times10^{5\ }=  

a)

1010  

b)

104510^{-45}  

c)

10910^{-9}  

d)

102010^{-20}  

37.

109104\frac{10^9}{10^4} =

a)

10510^5   

b)

101310^{13}  

c)

1105\frac{1}{10^5}  

d)

103610^{36}  

38.

1kg= …..g

a)

10-2

b)

10-3

c)

102

d)

103

39.

0.000001=0.000001=  

a)

10-6

b)

106

c)

10-3

40.

1mm=....m1mm=....m  

a)

10-3

b)

10-6

c)

103

41.

តើមួយណាជាការសរសេរជាទម្រង់ស្តង់ដា?

a)

0,97 x 107

b)

1,52 x 103

c)

17,3 x 10-3

d)

32 x 105

42.

ទម្រង់ស្តង់ដានៃ 320 000 គឺ

a)

3,2 x 105

b)

32 x 104

c)

32 x 10-4

d)

3,2 x 10-5

43.

ទម្រង់ស្តង់ដានៃ 0,046 គឺ

a)

46 x 103

b)

4,6 x 102

c)

4,6 x 10-2

d)

46 x 10-3

44.

100000000+(0.0000001)0=210000000^0+\left(0.0000001\right)^0=2  

a)

ពិត

b)

មិនពិត

45.

គេមានស្វ័យគុណ a3a^3 តើចំនួន 3 គឺជាអ្វី?

a)

គោល

b)

ស្វ័យគុណ

c)

និទស្សន្ដ

d)

គូប

46.

a×a×a×a×a=?a\times a\times a\times a\times a=?

a)

a5a^5

b)

5a5a

c)

a6a^6

d)

a+5a+5

47.

គណនា 53=?5^3=?

a)
150
b)
75
c)
1000
d)
125
48.

គណនា (2)4=?\left(-2\right)^4=?

a)
16
b)
-8
c)
8
d)
6
49.

គណនា 34=?3^4=?

a)

81

b)

12

c)

27

d)

64

50.

គណនា (3)3=?(-3)^3=?

a)

-27

b)

9

c)

27

d)

-9

51.

គណនា 102-10^2

a)

100

b)
-50
c)

-100

d)

-20

52.

បើ m , n ជាចំនួនគត់រុឺឡាទីបខុសពីសូន្យ គេបាន am×an=?a^m\times a^n=?

a)

amna^{mn}

b)

am+na^{m+n}

c)

amna^{m-n}

d)

amna^{m^n}

53.

គណនា x2×x3=?x^2\times x^3=?

a)

x6x^6

b)

x5x^5

c)

x7x^7

d)

x4x^4

54.

គណនា (xy4)(x2y2)=?\left(xy^4\right)\left(x^2y^{-2}\right)=?

a)

x2y2x^2y^2

b)

x3y3x^3y^3

c)

x3y2x^3y^2

d)

x3y6x^3y^6

55.

បើ m , n ជាចំនួនគត់រុឺទឡាទីប គេបាន aman=?\frac{a^m}{a^n}=?

a)

am+na^{m+n}

b)

amna^{m-n}

c)

amna^{mn}

d)

am÷na^{m\div n}

56.

គណនា x5x3=?\frac{x^5}{x^3}=?

a)

x10x^{10}

b)

x8x^8

c)

x2x^2

d)

x15x^{15}

57.

គណនា x3y2xy2=?\frac{x^3y^2}{x^{ }y^{-2}}=?

a)

x2x^2

b)

x2yx^2y^{ }

c)

x2y3x^2y^3

d)

x2y4x^2y^4

58.

ជាទូទៅ a0=?a^0=?

a)

0

b)

aa

c)

11

d)

កំណត់មិនបាន

59.

ជាទូទៅ an=1an  ,   1an=an ។a^{-n}=\frac{1}{a^n}\ \ ,\ \ \ \frac{1}{a^{-n}}=a^n\ ។ គណនា x2=?x^{-2}=?

a)

2xn\frac{2}{x^n}

b)

1xn\frac{1}{x^n}

c)

2xn-\frac{2}{x^n}

d)

1xn-\frac{1}{x^n}

60.

គណនា 252=?\frac{2}{5^{-2}}=?

a)

20

b)

25

c)

50

d)

-50

61.

គណនា (23)2=?\left(2^3\right)^2=?

a)

32

b)

64

c)

16

d)

100

62.

គណនា (2x)3=?\left(2x\right)^3=?

a)

6x36x^3

b)

8x38x^3

c)

10x310x^3

d)

9x39x^3

63.

គណនា (3x)2=?\left(3x\right)^2=?

a)

9x29x^2

b)

6x26x^2

c)

12x212x^2

d)

5x25x^2

64.

គណនា 4+1632=?\sqrt[]{4}+\sqrt[]{16}-3^2=?

a)
-3
b)
-5
c)
0
d)
1
65.

គណនា 83125324=?\sqrt[3]{8}-\sqrt[3]{125}-2^4=?

a)

-11

b)

-15

c)

-18

d)

-19

66.

គណនា (2x2y)(3x3y2)(5xy)=?\left(-2x^2y\right)\left(3x^{-3}y^2\right)\left(-5x^{ }y\right)=?

a)

30xy430x^{ }y^4

b)

30y4-30y^4

c)

30y430y^4

d)

30x2y230x^2y^2

67.

គណនាតម្លៃនៃកន្សោម x2y32xyx^2y^3-2xy ចំពោះ x=2  ,  y=2x=2\ \ ,\ \ y=-2

a)

-18

b)

-20

c)

-24

d)

-25

68.

បើ aa  ជាចំនួនសនិទាន និង nn  ជាចំនួនគត់រ៉ឺឡាទីប គេបាន aaa...a,  na\cdot a\cdot a\cdot...\cdot a,\ \ n  កត្តា គេបាន

a)

ana^n  

b)

nan^a  

c)

ama^m  

d)

mam^a  

69.

តើ 10410^4  អានយ៉ាងដូជម្តេច?

a)

4 ស្វ័យគុណ 104\ ស្វ័យគុណ\ 10  

b)

10ស្វ័យគុណ410ស្វ័យគុណ4  

c)

10 ការេ10\ ការេ  

d)

4 ការេ4\ ការេ  

70.

តើ (2)3=?\left(-2\right)^3=?  

a)

6-6  

b)

8-8  

c)

88  

d)

66  

71.

បើ aa  ជាចំនួនសនិទាន m,nm,n  ជាចំនួនគត់រ៉ឺឡាទីបខុសពីសូន្យ គេបាន

a)

aman=a(mn)a^m\cdot a^n=a^{\left(m-n\right)}  

b)

aman=a(m+n)a^m\cdot a^n=a^{\left(m+n\right)}  

c)

aman=a(mn)a^m\cdot a^n=a^{\left(mn\right)}  

d)

aman=a(m÷n)a^m\cdot a^n=a^{\left(m\div n\right)}  

72.

2324=?2^3\cdot2^4=?  

a)

232^3  

b)

242^4  

c)

272^7  

d)

252^5  

73.

(13)(13)(13)=?\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)=?  

a)

13\frac{1}{3}  

b)

19\frac{1}{9}  

c)

127\frac{1}{27}  

d)

181\frac{1}{81}  

74.

102104=?10^{-2}\cdot10^4=?  

a)

10210^2  

b)

10210^{-2}  

c)

10310^{-3}  

d)

10310^3  

75.

x9x6=?x^9\cdot x^{-6}=?  

a)

x4x^{-4}  

b)

x4x^4  

c)

x3x^{-3}  

d)

x3x^3  

76.

(32)2(32)2=?\left(-\frac{3}{2}\right)^2\left(-\frac{3}{2}\right)^{-2}=?  

a)

(32)4\left(-\frac{3}{2}\right)^4  

b)

(32)4\left(-\frac{3}{2}\right)^{-4}  

c)

32-\frac{3}{2}  

d)

11  

77.

(3xy2)3=?\left(3xy^2\right)^3=?  

a)

27x3y627x^3y^6  

b)

3x3y63x^3y^6  

c)

9x3y69x^3y^6  

d)

3xy33xy^3  

78.

3.75104=?3.75\cdot10^4=?  

a)

3750037500  

b)

375375  

c)

37503750  

d)

375000375000  

79.

(4xyb2)(2x1yd)\left(4xyb^2\right)\left(2x^{-1}yd\right)  

a)

8xy2b2d8xy^2b^2d  

b)

4xybd

c)

8y2b2d8y^2b^2d  

d)

4xyb2d4xyb^2d  

80.

4m=.................cm

a)

400cm

b)

40cm

c)

4000cm

d)

0.4cm

81.

23+422^3+^{ }4^2  

a)

10

b)

7

c)

24

d)

25

82.

52×225^2\times^{ }2^2  

a)

10

b)

100

c)

1000

d)

50

83.

4×4×4×4×4×44\times4\times4\times4\times4\times4  

a)

434^3  

b)

424^2  

c)

454^5  

d)

464^6  

84.

គណនាផលចែក 45÷110=?\frac{4}{5}\div\frac{1}{10}=?  

a)

22  

b)

44  

c)

66  

d)

88  

85.

2425÷615=?\frac{24}{-25}\div\frac{6}{15}=?  

a)

127-\frac{12}{7}  

b)

512-\frac{5}{12}  

c)

1513\frac{15}{13}  

d)

1325\frac{13}{25}  

86.

ចូរអានចំនួន 535^3  

a)

អានថា 5 ស្វ័យគុណ 3

b)

អានថា 3 ស្វ័យគុណ 5

c)

អានថា 3 ការេ

d)

អានថា 5 គូប

87.

(5xy2)(35x3y8)=?\left(-5xy^{-2}\right)\left(\frac{3}{5}x^3y^8\right)=?  

a)

3x4y63x^4y^6  

b)

3x4y6-3x^4y^6  

c)

2x2y42x^2y^4  

d)

2x4y6-2x^4y^6  

88.

47+157\frac{4}{7}+\frac{15}{7}  

a)

237\frac{23}{7}  

b)

197\frac{19}{7}  

c)

257\frac{25}{7}  

d)

127\frac{12}{7}  

89.

3X0+23X^0+2^{ }  

a)

33  

b)

55  

c)

77  7

d)

10

90.

3252\frac{3^2}{5^2}  

a)

610\frac{6}{10}  

b)

910\frac{9}{10}   

c)

925\frac{9}{25}  

d)

1025\frac{10}{25}  

91.

522335^2-2^3-3  

a)

1111  

b)

1414  

c)

1515  

d)

1919  

92.

3a3b-3a^3b^{ } ចំពោះ  a=2 ;b=5ចំពោះ\ \ a=2\ ;b=5   

a)

120

b)

102

c)

-102

d)

-120