\(1+2+4+8+...\)

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15 tháng 9 2019

Đề j kì vậy

=> ko có đs/vô số

15 tháng 9 2019

=so N bn cho minh biet so cuoi di

\(\frac{7}{8}.(\frac{2}{12}+\frac{4}{10})\)

\(\Rightarrow\frac{7}{8}.(\frac{10+24}{60})\)

\(\Rightarrow\frac{7}{8}.\frac{34}{60}=\frac{238}{480}\)

bt2

\(2.x-\frac{5}{4}=\frac{20}{15}\)

\(\Leftrightarrow2x=\frac{20}{15}+\frac{5}{4}\)

\(\Leftrightarrow2x=\frac{80+75}{60}\)

\(\Leftrightarrow2x=2,5\)

\(\Leftrightarrow x=1,25\)

29 tháng 10 2018

.7/8.(1/6+2/5)=7/8.17/30=119/240

3/2-5/6:1/4+\(\sqrt{4}\)=3/2-10/3+2=1/6

2x=20/15+5/4

2x=31/12

x=31/12:2

x=31/24

ko bt nha thông cảm

11 tháng 11 2016

x+1/3-4=-1

=>x+1/3=-1+4

=>x+1/3=3

=>x =3-1/3

=>x =8/3

Vậy x = 8/3

11 tháng 11 2016

(2/25-1,008):4/7:(13/4-6/5/9)*36/17

=(2/25-126/125).7/4:(13/4-59/9)*36/17

=(10/125-126/125).7/4:(117/36-236/36)*36/17

=-116/125.7/4.(-36/119).36/17

=-203/125.(-1296/2023)=263088/252875

Mình tính ko nhanh đâu

30 tháng 8 2020

A = -5,13 : (25/28 - 8/9 . 1,25 + 16/63)

   = -5,13 : (25/28 - 10/9 + 16/63)

   = -5,13 : 1/28 = -3591/25 (-143,64)

B = (1 . 1,9 + 19,5 : 4/3) . (62/75 . 4/25)

   = ( 1,9 + 117/8 ) . 248/1875

  =  661/40 . 248/1875 = 2,185...

30 tháng 8 2020

câu trl là do bấm máy tính đó nheaaaa

17 tháng 3 2020

Bài 2:

a) \(\frac{8^{14}}{4^{12}}\)

\(=\frac{\left(2^3\right)^{14}}{\left(2^2\right)^{12}}\)

\(=\frac{2^{42}}{2^{24}}\)

\(=2^{18}\)

\(=262144.\)

b) \(\left(-\frac{1}{3}\right)^7.3^7\)

\(=\left[\left(-\frac{1}{3}\right).3\right]^7\)

\(=\left(-1\right)^7\)

\(=-1.\)

c) \(\frac{90^2}{15^2}\)

\(=\left(\frac{90}{15}\right)^2\)

\(=6^2\)

\(=36.\)

d) \(\frac{790^4}{79^4}\)

\(=\left(\frac{790}{79}\right)^4\)

\(=10^4\)

\(=10000.\)

Chúc bạn học tốt!

4 tháng 4 2020

Mk làm tiếp cho bạn Vũ Minh Tuấn nhé!

Bài 1:

\(-\frac{64}{343}=x^3\)

\(\Rightarrow x^3=\left(-\frac{4}{7}\right)^3\)

\(\Rightarrow x=-\frac{4}{7}\)

Vậy \(x=-\frac{4}{7}\)

\(\left(x+20\right)^{100}+\left|y+4\right|=0\)

Ta có: \(\left(x+20\right)^{100}\ge0;\left|y+4\right|\ge0\)

\(\Rightarrow\left\{{}\begin{matrix}\left(x+20\right)^{100}=0\\\left|y+4\right|=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-20\\y=-4\end{matrix}\right.\)

Vậy \(x=-20;y=-4\)

\(\left(x-\frac{1}{2}\right)^3=\frac{1}{27}\)

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

\(\Rightarrow x-\frac{1}{2}=\frac{1}{3}\)

\(\Rightarrow x=\frac{5}{6}\)

Vậy \(x=\frac{5}{6}\)

\(\left(x+\frac{1}{2}\right)^2=\frac{4}{25}\)

\(\Rightarrow\left(x+\frac{1}{2}\right)^2=\left(\frac{2}{5}\right)^2\)

\(\Rightarrow\left[{}\begin{matrix}x+\frac{1}{2}=\frac{2}{5}\\x+\frac{1}{2}=-\frac{2}{5}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-\frac{1}{10}\\x=-\frac{9}{10}\end{matrix}\right.\)

Vậy \(x\in\left\{-\frac{1}{10};-\frac{9}{10}\right\}\)

8 tháng 11 2018

câu 1 \(A=\dfrac{3^2}{5^2}.5^2-\dfrac{9^3}{4^3}:\dfrac{3^3}{4^3}+\dfrac{1}{2}\)

\(A=\dfrac{3^2}{5^2}.5^2-\dfrac{\left(3^2\right)^3}{4^3}.\dfrac{4^3}{3^3}+\dfrac{1}{2}\)

\(A=\dfrac{3^2}{5^2}.5^2-\dfrac{3^6}{4^3}.\dfrac{4^3}{3^3}+\dfrac{1}{2}=3^2-3^3+\dfrac{1}{2}=-18+\dfrac{1}{2}=-\dfrac{35}{2}\)

\(B=\left[\dfrac{4}{11}+\dfrac{7}{22}.2\right]^{2010}-\left(\dfrac{1}{2^2}.\dfrac{4^4}{8^2}\right)^{2009}\)

\(B=\left[\dfrac{4}{11}+\dfrac{7}{11}\right]^{2010}-\left(\dfrac{1}{2^2}.\dfrac{\left(2^2\right)^4}{\left(2^3\right)^2}\right)^{2009}\)

\(B=1^{2010}-\left(\dfrac{1}{2^2}.\dfrac{2^8}{2^6}\right)^{2009}\)

\(B=1^{2010}-\left(\dfrac{2^8}{2^8}\right)^{2009}\)

\(B=1^{2010}-1^{2009}=1-1=0\)

8 tháng 11 2018

câu 2

a) \(2x-\dfrac{5}{4}=\dfrac{20}{15}\)

\(\Leftrightarrow2x=\dfrac{4}{3}+\dfrac{5}{4}\)

\(\Leftrightarrow2x=\dfrac{31}{12}\)

\(\Leftrightarrow x=\dfrac{31}{24}\)

b) \(\left(x+\dfrac{1}{3}\right)^3=\left(-\dfrac{1}{2}\right)^3\)

\(\Leftrightarrow x+\dfrac{1}{3}=-\dfrac{1}{2}\)

\(\Leftrightarrow x=-\dfrac{1}{2}-\dfrac{1}{3}\)

\(\Leftrightarrow x=-\dfrac{5}{6}\)

18 tháng 6 2018

\(\frac{-1}{12}-\left(2\frac{5}{8}-\frac{1}{3}\right)\)

\(=\frac{-1}{12}-\left(\frac{21}{8}-\frac{1}{3}\right)\)

\(=\frac{-1}{12}-\left(\frac{63}{24}-\frac{8}{24}\right)\)

\(=\frac{-1}{12}-\frac{55}{24}\)

\(=\frac{-2}{24}-\frac{55}{24}\)

\(=\frac{-19}{8}\)

21 tháng 9 2016

Đặt A = \(\frac{1}{2}-\frac{1}{4}-\frac{1}{8}-\frac{1}{16}-\)...\(-\frac{1}{1024}\)

A= \(\frac{1}{2^1}-\frac{1}{2^2}-\frac{1}{2^3}-\frac{1}{2^4}-\)....\(-\frac{1}{2^{10}}\)

2A=\(\frac{1}{1}\)\(-\frac{1}{2^1}-\frac{1}{2^2}-\frac{1}{2^3}-\)...\(-\frac{1}{2^9}\)

2A-A=(\(\frac{1}{1}\)\(-\frac{1}{2^1}-\frac{1}{2^2}-\frac{1}{2^3}-\)...\(-\frac{1}{2^{10}}\)\(-\)(\(\frac{1}{2^1}-\frac{1}{2^2}-\frac{1}{2^3}-\frac{1}{2^4}-\)..\(-\frac{1}{2^9}\))

A=\(1+\frac{1}{2^{10}}\)

A= \(\frac{1025}{1024}\)