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10 tháng 9 2016

đăng từng câu nhé bạn

chứ kiểu vậy thì ko có ai giải cho bạn đâu

24 tháng 6 2019

A = 1/2 + 1/4 + 1/8 + ... + 1/128

A = 1/2^1 + 1/2^2 + 1/2^3 + ... + 1/2^7

2A = 1 + 1/2 + 1/2^2 + ... + 1/2^6

2A - A = 1 - 1/2^7 = A

24 tháng 6 2019

G = 5 - 5^2/1*6  5^2/6*11 - ... - 5^2/101*106

G = -5(-1 + 5/1*6 + 5/6*11 + ... + 5/101*106)

G = -5(-1 + 1 - 1/6 + 1/6 - 1/11 + ... + 1/101 - 1/106)

G = -1.(-1/106)

G = 1/106

31 tháng 10 2020

\(a,\frac{1}{3}x+0.25=\frac{5}{7}\)

\(\Leftrightarrow\frac{1}{3}x=\frac{13}{28}\)

\(\Leftrightarrow x=\frac{39}{28}\)

vậy...

\(b,\frac{11}{12}x+0,25=\frac{5}{6}\)

\(\Leftrightarrow\frac{11}{12}x=\frac{7}{12}\)

\(\Leftrightarrow x=\frac{7}{11}\)

vậy.....

\(c,\left(\frac{-1}{3}\right)^2+\frac{2}{3}x=\frac{1}{4}\)

\(\Leftrightarrow\frac{1}{9}+\frac{2}{3}x=\frac{1}{4}\)

\(\Leftrightarrow\frac{2}{3}x=\frac{5}{36}\)

\(\Leftrightarrow x=\frac{5}{24}\)

vậy......

\(d,\left(3x+2\right)^3=-\frac{8}{125}\)

\(\Leftrightarrow3x+2=-\frac{2}{5}\)

\(\Leftrightarrow3x=-\frac{12}{5}\)

\(\Leftrightarrow x=-\frac{4}{5}\)

vậy.......

31 tháng 10 2020

\(\frac{1}{3x}+0,25=\frac{5}{7}\)

\(\frac{1}{3x}+\frac{1}{4}=\frac{5}{7}\)

\(\frac{1}{3x}=\frac{13}{28}\)

\(3x=\frac{28}{13}\)

\(x=\frac{28}{39}\)

\(\frac{11}{12x}+0,25=\frac{5}{6}\)

\(\frac{11}{12x}+\frac{1}{4}=\frac{5}{6}\)

\(\frac{11}{12x}=\frac{7}{12}\)

\(x=\frac{11}{12}:\frac{7}{12}\)

\(x=\frac{7}{11}\)

\(\left(-\frac{1}{3}\right)^2+\frac{2}{3x}=\frac{1}{4}\)

\(\frac{1}{9}+\frac{2}{3x}=\frac{1}{4}\)

\(\frac{2}{3x}=\frac{5}{36}\)

\(x=\frac{2}{3}:\frac{5}{36}\)

\(x=\frac{5}{24}\)

\(\left(3x+2\right)^3=\left(-\frac{8}{125}\right)\)

\(\left(3x+2\right)^3=\left(-\frac{2}{5}\right)^3\)

\(\Rightarrow3x+2=-\frac{2}{3}\)

\(3x=-\frac{8}{3}\)

\(x=-\frac{9}{8}\)

27 tháng 7 2018

a, x:(1/2)3=-1/2

x:1/8= -1/2

x= -1/2.1/8

x=-1/16

b,(3/4)5.x=(3/4)7

x=(3/4)7:(3/4)5

x= (3/4)2

c,(2/5)^8:x=(2/5)^6

x=.......

như cái trên nha lm giống thế

27 tháng 7 2018

thanks nha

11 tháng 9 2019

\(a,\frac{(-10)^5}{3\cdot(-6)^4}=\frac{(-2\cdot5)^5}{3\cdot(-2\cdot3)^4}=\frac{(-2)^5\cdot5^5}{3\cdot(-2)^4\cdot3^4}=\frac{(-2)^5\cdot5^5}{(-2)^4\cdot3^5}=-2\cdot\frac{5^5}{3^5}=\frac{-6250}{243}\)

\(b,\frac{2^{15}\cdot9^4}{6^6\cdot8^3}=\frac{\left[2^3\right]^5\cdot\left[3^2\right]^4}{\left[3\cdot2\right]^6\cdot\left[2^3\right]^3}=\frac{2^{15}\cdot3^8}{3^6\cdot2^6\cdot2^9}=\frac{2^{15}\cdot3^8}{3^6\cdot2^{15}}=\frac{3^8}{3^6}=3^2=9\)

\(c,\left[1+\frac{2}{3}-\frac{1}{4}\right]\cdot\left[\frac{4}{5}-\frac{3}{4}\right]^2\)

\(=\left[\frac{12}{12}+\frac{8}{12}-\frac{3}{12}\right]\cdot\left[\frac{16}{20}-\frac{15}{20}\right]^2\)

\(=\frac{17}{12}\cdot\left[\frac{1}{20}\right]^2=\frac{17}{12}\cdot\frac{1^2}{20^2}=\frac{17}{12}\cdot\frac{1}{400}=\frac{17}{4800}\)

\(d,2^3+3\cdot\left[\frac{1}{2}\right]^0+\left[(-2)^2:\frac{1}{2}\right]\)

\(=8+3\cdot\frac{1^0}{2^0}+\left[4:\frac{1}{2}\right]\)

\(=8+3\cdot1+8=8+3+8=19\)

a) Ta có: \(\frac{1}{27}x^3-8y^6\)

\(=\left(\frac{1}{3}x\right)^3-\left(2y^2\right)^3\)

\(=\left(\frac{1}{3}x-2y^2\right)\left(\frac{1}{9}x^2+\frac{2}{3}xy^2+4y^4\right)\)

b) Ta có: \(t^2x^6-\frac{4}{9}y^4\)

\(=\left(tx^3\right)^2-\left(\frac{2}{3}y^2\right)^2\)

\(=\left(tx^3-\frac{2}{3}y^2\right)\left(tx^3+\frac{2}{3}y^2\right)\)

c) Ta có: \(64x^6+\frac{1}{27}y^3\)

\(=\left(4x^2\right)^3+\left(\frac{1}{3}y\right)^3\)

\(=\left(4x^2+\frac{1}{3}y\right)\left(8x^4-\frac{4}{3}x^2y+\frac{1}{9}y^2\right)\)

d) Ta có: \(\frac{1}{16}a^2x^6-y^4\)

\(=\left(\frac{1}{4}ax^3\right)^2-\left(y^2\right)^2\)

\(=\left(\frac{1}{4}ax^3-y^2\right)\left(\frac{1}{4}ax^3+y^2\right)\)

e) Ta có: \(m^4x^6-\frac{4}{25}y^2\)

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

\(=\left(m^2x^3-\frac{2}{5}y\right)\left(m^2x^3+\frac{2}{5}y\right)\)

f) Ta có: \(27x^6-\frac{1}{64}y^3\)

\(=\left(3x^2\right)^3-\left(\frac{1}{4}y\right)^3\)

\(=\left(3x^2-\frac{1}{4}y\right)\left(9x^4+\frac{3}{4}x^2y+\frac{1}{16}y^2\right)\)