\(^0\)+(-5)\(^1\)+(-5)\(...">
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7 tháng 2 2020

-5B=(-5)1+(-5)2+(-5)3+...+(-5)2018

-5B-B=[(-5)1+(-5)2+...+(-5)2018] - [(-5)0+(-5)1+...+(-5)2017]

-6B=(-5)2018-(-5)= (-5)2018-1

B= [(-5)2018-1]:-6

Anh học tốt nha ( em mới lớp 6)

10 tháng 2 2020

Cho e sửa lại dòng cuối :

B= [(-5)2018-(-1)]:-6

4 tháng 8 2019

\(M=\frac{-2x}{3}+3x\left(\frac{x}{6}-\frac{-2}{9}-\frac{7}{5}\right)-\frac{5x}{2}\left(\frac{x}{5}-\frac{4}{5}\right)\)

\(M=\frac{-2x}{3}+3x\left[\frac{x}{6}-\left(-\frac{2}{9}\right)-\frac{7}{5}\right]-\frac{5x}{4}\left(\frac{x}{5}-\frac{4}{5}\right)\)

\(M=\frac{-2x}{3}+3x\left(\frac{x}{6}+\frac{2}{9}-\frac{7}{5}\right)-\frac{5x}{2}\left(\frac{x}{5}-\frac{4}{5}\right)\)

\(M=-\frac{2x}{3}+3x\left(\frac{x}{6}-\frac{53}{45}\right)-\frac{5x}{2}.\frac{x-4}{5}\)

\(M=-\frac{2x}{3}+3x\left(\frac{x}{6}-\frac{53}{45}\right)-\frac{5x\left(x-4\right)}{10}\)

\(M=-\frac{2x}{3}+3x\left(\frac{x}{6}-\frac{53}{45}\right)-\frac{x\left(x-4\right)}{2}\)

\(M=-\frac{2x}{3}+\frac{x^2}{2}-\frac{53x}{15}-\frac{x\left(x-4\right)}{2}\)

\(M=\left(-\frac{2x}{3}-\frac{53x}{15}\right)+\frac{x^2}{2}-\frac{x\left(x-4\right)}{2}\)

\(M=-\frac{21x}{5}+\frac{x^2}{2}-\frac{x\left(x-4\right)}{2}\)

\(M=\frac{-2.21x+5x^2-5x\left(x-4\right)}{10}\)

\(M=\frac{-42x+5x^2-5x\left(x-4\right)}{10}\)

\(M=\frac{-x\left[42-5x+5\left(x-4\right)\right]}{10}\)

\(M=\frac{-x\left(42-5x+5x-20\right)}{10}\)

\(M=\frac{-x\left(42-20\right)}{10}\)

\(M=\frac{-x.22}{10}\)

\(M=-\frac{22x}{10}\)

\(M=-\frac{11x}{5}\)

a) Ta có: \(\frac{3}{8}-\frac{1}{5}+\frac{3}{40}\)

\(=\frac{15}{40}-\frac{8}{40}+\frac{3}{40}\)

\(=\frac{10}{40}=\frac{1}{4}\)

b) Ta có: \(\frac{21}{4}\cdot\frac{3}{8}+\frac{43}{4}\cdot\frac{3}{8}-4\cdot\frac{1}{2}\)

\(=\frac{3}{8}\left(\frac{21}{4}+\frac{43}{4}\right)-2\)

\(=\frac{3}{8}\cdot16-2\)

\(=6-2=4\)

c) Ta có: \(\frac{-5}{9}+\frac{7}{15}+\frac{-2}{11}+\frac{4}{-9}+\frac{8}{15}\)

\(=\left(\frac{-5}{9}+\frac{-4}{9}\right)+\left(\frac{7}{15}+\frac{8}{15}\right)+\frac{-2}{11}\)

\(=-1+1+\frac{-2}{11}\)

\(=\frac{-2}{11}\)

d) Ta có: \(125\%\cdot\left(\frac{-1}{2}\right)^2:\left(1\frac{5}{6}-1.5\right)+2016^0\)

\(=\frac{5}{4}\cdot\frac{1}{4}:\left(\frac{11}{6}-\frac{3}{2}\right)+1\)

\(=\frac{5}{16}\cdot3+1\)

\(=\frac{15}{16}+\frac{16}{16}=\frac{31}{16}\)

21 tháng 6 2020

Nhầm r ha :))

a: \(A=\dfrac{\dfrac{3}{8}-\dfrac{3}{10}+\dfrac{3}{11}+\dfrac{3}{12}}{\dfrac{-5}{8}+\dfrac{5}{10}-\dfrac{5}{11}-\dfrac{5}{12}}+\dfrac{\dfrac{3}{2}+\dfrac{3}{3}-\dfrac{3}{4}}{\dfrac{5}{2}+\dfrac{5}{3}-\dfrac{5}{4}}\)

\(=\dfrac{-3}{5}+\dfrac{3}{5}=0\)

b: \(=3^4-\left(-8\right)^2-\left(-25\right)^2\)

\(=81-64-625=-608\)

c: \(=2^3+3\cdot1\cdot\dfrac{1}{4}\cdot4+\left[4:\dfrac{1}{2}\right]:8\)

\(=8+3+4\cdot2:8=11+1=12\)

23 tháng 5 2020

Bài 1:

\(A=\left(x^3.x^3.x^2\right).\left(y.y^4\right).\left(\frac{2}{5}.\frac{-5}{4}\right)\)

\(A=x^8.y^5.\left(-\frac{1}{2}\right)\)

\(B=\left(x^5.x.x^2\right).\left(y^4.y^2.y\right).\left(\frac{-3}{4}.\frac{-8}{9}\right)\)

\(B=x^8.y^7.\frac{2}{3}\)

Bài 2:

\(A=\left(15.x^2.y^3-12.x^2.y^3\right)+\left(11x^3.y^2-8.x^3.y^2\right)+\left(7x^2-12x^2\right)\)

\(A=3.x^2.y^3+2.x^3.y^2-5x^2\)

B tương tự nhé, đáp án là (theo mình)

\(B=\frac{5}{2}.x^5.y+\frac{7}{3}.x.y^4-\frac{1}{4}.x^2.y^3\)

13 tháng 10 2019

1.

a) \(3^3.9^{-1}\)

\(=27.\frac{1}{9}\)

\(=3.\)

b) \(25.5^{-1}.5^0\)

\(=25.\frac{1}{5}.1\)

\(=5.1\)

\(=5.\)

c) \(3^2.\frac{1}{243}.81^2.3^{-3}\)

\(=9.\frac{1}{243}.6561.\frac{1}{27}\)

\(=\frac{1}{27}.6561.\frac{1}{27}\)

\(=243.\frac{1}{27}\)

\(=9.\)

Chúc bạn học tốt!

13 tháng 10 2019

a, \(3^3.9^{-1}\)

\(=27.\frac{1}{9}\)

\(=\frac{27}{9}=3\)

b, \(25.5^{-1}.5^0\)

\(=25.\frac{1}{5}.1\)

\(=\frac{25}{5}.1\)

\(=5.1\)

\(=5\)

c, \(3^2.\frac{1}{143}.81^2.3^{-3}\)

\(=9.\frac{1}{143}.6561.\frac{1}{3^3}\)

\(=9.\frac{1}{143}.6561.\frac{1}{27}\)

\(=9.\frac{1}{143}\left(6561.\frac{1}{27}\right)\)

\(=9.\frac{1}{143}.243\)

\(=\frac{9}{143}.243\)

\(=\frac{2187}{143}\)

Câu d tương tự các câu trên

a: x>-3/5 nên x+3/5>0

x<1/7 nên x-1/7<0

A=1/7-x-x-3/5+4/5=-2x+12/35

b: B=|x-1/7|+|x+3/5|-1/3

x>-3/5 nên x+3/5>0

x<1/7 nên x-1/7<0

B=1/7-x+3/5+x-1/3=43/105

31 tháng 1 2017

c)\(\left|2x+3\right|=x+2\)

Đk:\(x+2\ge0\Rightarrow x\ge-2\)

TH1:2x+3=x+2

\(\Rightarrow2x-x=2-3\)

\(\Rightarrow x=-1\)(Thỏa mãn đk )

TH2:2x+3=-x-2

\(\Rightarrow2x+x=-2+3\)

\(\Rightarrow3x=1\)

\(\Rightarrow x=\frac{1}{3}\)(Thỏa mãn đk)

Vậy x=-1 hoặc x=1/3