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20 tháng 6 2017

a, \(6,3+\left(-3,7\right)+2,4+\left(-0,3\right)\)

\(=\left(6,3-0,3\right)+\left(-3,7+2,4\right)\)

\(=6-1,3=4,7\)

b, \(\left(-4,9\right)+5,5+4,9+\left(-5,5\right)\)

\(=\left(-4,9+4,9\right)+\left(5,5-5,5\right)\)

\(=0+0=0\)

Chúc bạn học tốt!!!

20 tháng 6 2017

a, 6.3+(-3.7)+2.4+(-0.3) = (6,3 - 0,3) + (-3,7+2,4) = 6 - 1,3 = 4,7

b, (-4.9)+5.5+4.9+(-5.5) = (-4,9 +4,9) + (-5,5 + 5,5) = 0 + 0 = 0

5 tháng 9 2016

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23 tháng 8 2016

a) 6,3 + (-3,7) + 2,4 + (-0,3)

= (6,3 + 2,4) + [-3,7 + (-0,3)]

= 8,7 + (-4)

=  4,7

b) (-4,9) + 5,5 + 4,9 + (-5,5)

= (-4,9 + 4,9) + [5,5 + (-5,5)]

= 0 + 0

= 0

c) 2,9 + 3,7 + (-4,2) + (-2,9) + 4,2

= [2,9 + (-2,9)] + (-4,2 + 4,2) + 3,7

= 0 + 0 + 3,7

= 3,7

d) (-6,5) . 2,8 + 2,8 . (-3,5)

= 2,8 . [-6,5 + (-3,5)]

= 2,8 . (-10)

= -28.

27 tháng 9 2016
  • \(\frac{4^6.3^4.9^5}{6^{12}}=\frac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{\left(2.3\right)^{12}}=\frac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\frac{2^{12}.3^{14}}{2^{12}.3^{12}}=3^2=9\)
  • ​​\(\frac{3^{10}.11+9^5.5}{3^9.2^4}=\frac{3^{10}.11+\left(3^2\right)^5.5}{3^9.16}=\frac{3^{10}.11+3^{10}.5}{3^9.16}=\frac{3^{10}.\left(11+5\right)}{3^9.16}=\frac{3^{10}.16}{3^9.16}=3\)
  • 2100 - 299 - 298 - ... - 22 - 2

= 2100 - (299 + 298 + ... + 22 + 2)

Đặt A = 299 + 298 + ... + 22 + 2

2A = 2100 + 299 + ... + 23 + 22

2A - A = (2100 + 299 + ... + 23 + 22) - (299 + 298 + ... + 22 + 2)

A = 2100 - 2

Ta có:

2100 - 299 - 298 - ... - 22 - 2

= 2100 - (2100 - 2)

= 2100 - 2100 + 2

= 0 + 2

= 2

  • 38 : 36 + (22)4 : 29

= 32 + 28 : 29

\(=9+\frac{1}{2}\)

\(=\frac{18}{2}+\frac{1}{2}=\frac{19}{2}\)

a: \(=\dfrac{2^{12}\cdot3^{14}}{3^{12}\cdot2^{12}}=3^2=9\)

b: \(=\dfrac{7^3\cdot2\cdot5^3}{5^2\cdot7^2\cdot6}=7\cdot5\cdot\dfrac{1}{3}=\dfrac{35}{3}\)

d: =2^5(2^8+1)/2^2(2^8+1)=2^3=8

c: \(=\dfrac{5^3\cdot3^6\cdot2^8\cdot5^4\cdot3^4\cdot2^2}{2^{10}\cdot3^{10}\cdot5^5}=5^2\)

31 tháng 8 2023

a,(0,8)5:(0,4)6 = (\(\dfrac{0,8}{0,4}\))5 : 0,4 = 25:0,4 = 80

b, (-25)7: 323 - \(\dfrac{6103515625}{3276}\) = - 186264,5149

c, \(\dfrac{4^2.4^3}{2^{10}}\) = \(\dfrac{4^5}{2^{10}}\) = \(\dfrac{2^{10}}{2^{10}}\) = 1

d, \(\dfrac{9^5.5^7}{45^7}\) = \(\dfrac{9^5.5^7}{9^7.5^7}\) = \(\dfrac{1}{81}\)

31 tháng 8 2023

\(\dfrac{\left(0.8\right)^5}{\left(0.4\right)^4}\)=\(\dfrac{\left(2.0,4\right)^5}{\left(0.4^4\right)}\)=\(\dfrac{2^5.\left(0.4\right)^5}{\left(0,4\right)^4}\)=\(2^5\).\(\left(0.4\right)^1\)=12,8

b)câu b không biết có sai đề không nhưng đáp án câu b là -186264,5149

c) \(\dfrac{4^2.4^3}{2^{10}}\)=\(\dfrac{4^5}{\left(2^2\right)^5}\)=\(\dfrac{4^5}{4^5}\)=1

d)\(\dfrac{9^5.5^7}{45^7}\)=\(\dfrac{9^5.5^5.5^2}{45^7}\)=\(\dfrac{45^5.5^2}{45^7}\)=\(\dfrac{5^2}{45^2}\)=\(\left(\dfrac{5}{45}\right)^2\)=\(\left(\dfrac{1}{9}\right)^2\)=\(\dfrac{1}{81}\)

 

25 tháng 10 2018

a, \(B=\dfrac{2^{10}.13+2^{10}.65}{2^8.104}\)

\(=\dfrac{2^{10}.\left(13+65\right)}{2^8.2^3.13}\)

\(=\dfrac{2^{10}.78}{2^{11}.13}\)\(=\dfrac{1.6}{2.1}=\dfrac{1.3}{1.1}=3\)

29 tháng 10 2022

b: \(=\dfrac{2^{20}\cdot3^2+2^{54}}{2^{18}\cdot5^2}=\dfrac{2^{20}\left(3^2+2^{32}\right)}{2^{18}\cdot5^2}=\dfrac{2^2\left(3^2+2^{32}\right)}{25}\)

c: \(=\dfrac{2^9\cdot3^6\cdot3^6\cdot2^2}{2^8\cdot3^{12}}=\dfrac{2^{11}}{2^8}=8\)

d: \(=\dfrac{2^{12}\cdot3^4\cdot3^{10}}{2^{12}\cdot3^{12}}=9\)

2 tháng 10 2020

b) \(=\frac{1}{5}\left(\frac{1}{4}-\frac{1}{9}+\frac{1}{9}-\frac{1}{14}+\frac{1}{14}-\frac{1}{19}+...+\frac{1}{44}-\frac{1}{49}\right)\frac{2-\left(1+3+5+7+..+49\right)}{12}\)

\(=\frac{1}{5}\left(\frac{1}{4}-\frac{1}{49}\right)\frac{2-\left(12.50+25\right)}{89}=-\frac{5.9.7.89}{5.4.7.7.89}=\frac{-9}{28}\)

10 tháng 3 2023

ở phần cách là dấu gì vậy bạn?

10 tháng 3 2023

 

\(A=\dfrac{3}{4\cdot9}+\dfrac{3}{9\cdot14}+\dfrac{3}{14\cdot19}+...+\dfrac{3}{154\cdot159}\) đề ntn phải ko ạ?

\(\dfrac{5}{3}A=\dfrac{5}{4\cdot9}+\dfrac{5}{9\cdot14}+\dfrac{5}{14\cdot19}+...+\dfrac{5}{154\cdot159}\)

\(\dfrac{5}{3}A=\dfrac{1}{4}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{14}+\dfrac{1}{14}-\dfrac{1}{19}+...+\dfrac{1}{154}-\dfrac{1}{159}\)

\(\dfrac{5}{3}A=\dfrac{1}{4}-\dfrac{1}{159}\)

\(\dfrac{5}{3}A=\dfrac{155}{636}\\ A=\dfrac{31}{212}\)