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mình viết tắt bạn tự hiểu nha:
a=1+(59/1+5+525+...+58
b=1+(39/1+3+33+....+38
VD:A/B-C/D=A.C/B.D-C.B/D.B
TƯƠNG TỰ NHƯ A,B BẠN TÍNH RA

\(\dfrac{423134\cdot846267-423133}{846267\cdot423133+423134}\)
\(=\dfrac{(423133+1)\cdot846267-423133}{846267\cdot423133+423134}\)
\(=\dfrac{423133\cdot846267+846267-423133}{846267\cdot423133+423134}\)
\(=\dfrac{423133\cdot846267+423134}{864267\cdot423133+423134}=1\)

a) \(\left(x-\frac{5}{8}\right).\frac{5}{18}=\frac{-15}{36}\)
\(\Rightarrow x-\frac{5}{8}=\frac{-15}{36}:\frac{5}{18}\)
\(\Rightarrow x-\frac{5}{8}=\frac{-3}{2}\)
\(\Rightarrow x=\frac{-3}{2}+\frac{5}{8}\)
\(\Rightarrow x=\frac{-7}{8}\)
c) \(x\)là ước của 4
\(\Rightarrow x\inƯ\left(4\right)=\left\{\pm1;\pm2;\pm4\right\}\)
nhớ tk ^.^\(\)
\(\)
\(a)\) \(\left(x-\frac{5}{8}.\right).\frac{5}{18}=-\frac{15}{36}\)
\(\Rightarrow x-\frac{5}{8}=-\frac{15}{36}:\frac{5}{18}\)
\(\Rightarrow x-\frac{5}{8}=-\frac{15}{36}.\frac{18}{5}\)
\(\Rightarrow x-\frac{5}{8}=-\frac{3}{2}\)
\(\Rightarrow x=-\frac{3}{2}+\frac{5}{8}\)
\(\Rightarrow x=-\frac{12}{8}+\frac{5}{8}\)
\(\Rightarrow x=-\frac{7}{8}\)
Vậy \(x=-\frac{7}{8}\)
\(b)\frac{x+2}{5}=-\frac{15}{2}\)
\(\Rightarrow\left(x+2\right).2=-15.5\)
\(\Rightarrow\left(x+2\right).2=-75\)
\(\Rightarrow x+2=-75:2\)
\(\Rightarrow x+2=-37,5\)
\(\Rightarrow x=-37,5-2\)
\(\Rightarrow x=-39,5\)
\(c)\)Do x là Ư ( 4 )
\(\Rightarrow x\in\left\{1;-1;2;-2;4;-4\right\}\)
Chúc bạn học tốt !!!!

Ta có: 3A=3+\(^{3^2+3^3+3^4+3^5+...+3^{2012}+3^{2013}}\)
\(\Rightarrow\)3A-A=2A=(\(3+3^2+3^3+3^4+...+3^{2013}\)) - (\(1-3^{ }-3^2-3^3-3^4-...-3^{2012}\))
\(\Rightarrow\)2A=\(3^{2013}-1\)\(\Rightarrow\)A=\(\left(3^{2013}-1\right):2\)\(\Rightarrow\)B-A=(\(^{\left(3^{2013}:2\right)-\left(\left(3^{2013}-1\right):2\right)\Rightarrow}\)
A = 1 + 3 + 32 +...+ 32012
3A = 3 + 32 + 33 +...+ 32013
3A - A = (3 + 32 + 33 +...+ 32013) - (1 + 3 + 32 +...+ 32012)
2A = 32013 - 1
A = \(\frac{3^{2013}-1}{2}\)
=> B - A = \(\frac{3^{2013}}{2}-\frac{3^{2013}-1}{2}=\frac{3^{2013}-\left(3^{2013}-1\right)}{2}=\frac{3^{2013}-3^{2013}+1}{2}=\frac{1}{2}\)

ta có: \(\frac{2^5.7+2^5}{2^5.2^5-2^5.3}=\frac{2^5.\left(7+1\right)}{2^5.\left(2^5-3\right)}=\frac{8}{2^5-3}=\frac{8}{29}=\frac{104}{377}\)
\(\frac{3^4.5.\left(-3\right)^6}{3^4.13.3^4}=\frac{3^{10}.5}{3^8.13}=\frac{3^2.5}{13}=\frac{45}{13}=\frac{1305}{377}\)
\(\Rightarrow\frac{104}{377}< \frac{1305}{377}\Rightarrow\frac{2^5.7+2^5}{2^5.2^5-2^5.3}< \frac{3^4.5.\left(-3\right)^6}{3^4.13.3^4}\)
Ta cứ tính ra tử số và mỗi số của từng phân số ra nhé Jerry Gaming:
\(\frac{2^5.7+2^5}{2^5.2^5-2^5.3}\)= \(\frac{2^5.\left(7+1\right)}{2^5.\left(2^5-3\right)}=\frac{2^5.8}{2^5.\left(32-3\right)}=\frac{32.8}{2^5.29}=\frac{32.8}{32.29}=\frac{8}{29}\)
\(\frac{3^4.5.\left(-3\right)^6}{3^4.13.3^4}\)= \(\frac{3^4.5.3^6}{3^8.13}=\frac{3^{10}.5}{3^8.13}=\frac{3^2.5}{13}=\frac{9.5}{13}=\frac{45}{13}\)
\(\frac{8}{29}\)và \(\frac{45}{13}\)MSC: 377
Ta có:
\(\frac{8}{29}=\frac{8.13}{29.13}=\frac{104}{377}\)
\(\frac{45}{13}=\frac{45.29}{13.29}=\frac{1305}{377}\)
Vậy quy đồng \(\frac{2^5.7+2^5}{2^5.2^5-2^5.3}\)và \(\frac{3^4.5.\left(-3\right)^6}{3^4.13.3^4}\)ta được \(\frac{104}{377}\)và \(\frac{1305}{377}\)
Chúc bạn học tốt!

\(\frac{-2367}{3457214}\)và\(\frac{3457214}{2367}\)
Vì\(\frac{-2367}{3457214}< 0;\frac{3457214}{2367}>0\)
Nên\(\frac{-2367}{3457214}< \frac{3457214}{2367}\)
\(\frac{-2367}{3457214}\)và \(\frac{3457214}{2367}\)
Vì \(\frac{-2367}{3457214}< 0;\frac{347214}{2367}>0\)
Nên \(\frac{-2367}{3457214}< \frac{3457214}{2367}\)

ta có :\(2n+7⋮n+1\)
\(\Leftrightarrow2n+2+5⋮n+1\)
\(\Leftrightarrow2\left(n+1\right)+5⋮n+1\)
\(\Rightarrow5⋮n+1\)( VÌ 2(n+1) chia hết n+1 )
=> n+1 thuộc ươc của 5
\(\Rightarrow n+1\varepsilon\left(1,5\right)\)( VÌ n thuộc N )
\(\Rightarrow n\varepsilon\left(0,4\right)\)
Xét : 2n + 7 = ( 2n + 2 ) + 5 = 2( n + 1 ) + 5.
mà 2( n + 1 ) + 5 \(⋮\)( n + 1 )
2( n + 1 ) \(⋮\)( n + 1 )
\(\Rightarrow\)5 \(⋮\)( n + 1 )
\(\Rightarrow\)n + 1 \(\in\)Ư( 5 ) = { 1 ; 5 }
có : n + 1 = 1 \(\Rightarrow\)n = 0
hoặc : n + 1 = 5 \(\Rightarrow\)n = 4
* Thử : n = 0 có 2n + 7 = 2 . 0 + 7 = 7
n + 1 = 0 + 1 = 1
Có 7 \(⋮\)1 vậy n = 0 thỏa mãn.
* n = 4 có 2n + 7 = 2 . 4 + 7 = 15
n + 1 = 4 + 1 = 5
Có 15 \(⋮\)5 vậy n = 4 thỏa mãn.
KL : n = 0 hoặc n = 4 thỏa mãn đề

Ta có:
\(\frac{4.5.7+9.10.11}{27.30.33+12.15.21}=\frac{2^2.5.7+3^2.2.5.11}{3^3.2.3.5.3.11+2^2.3.3.5.3.7}=\frac{2.5.\left(2.7+3^2.11\right)}{3^5.2.5.11+2^2.3^3.5.7}\)
\(=\frac{2.5.\left(2.7+3^2.11\right)}{3^3.2.5.\left(3^2.11+2.7\right)}=\frac{1}{3^3}=\frac{1}{27}\)
\(\Rightarrow\frac{1}{27}\times\frac{54}{3}=\frac{2}{3}\)
Vậy giá trị của biểu thức là \(\frac{2}{3}\)
Sao