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TG
1
H9
HT.Phong (9A5)
CTVHS
16 tháng 7 2023
Ta có:
\(\dfrac{2}{5}\cdot\dfrac{2}{9}+\dfrac{2}{5}:\dfrac{9}{7}+2\)
\(=\dfrac{2}{5}\cdot\dfrac{2}{9}+\dfrac{2}{5}\cdot\dfrac{7}{9}+2\)
\(=\dfrac{2}{5}\cdot\left(\dfrac{2}{9}+\dfrac{7}{9}\right)+2\)
\(=\dfrac{2}{5}\cdot1+2\)
\(=\dfrac{2}{5}+2\)
Ta thấy \(\dfrac{2}{5}+2>\dfrac{2}{5}\)
Vậy: \(\dfrac{2}{5}\cdot\dfrac{2}{9}+\dfrac{2}{5}:\dfrac{9}{7}+2>\dfrac{2}{5}\)
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\(\dfrac{8}{9}:\left(\dfrac{1}{11}-\dfrac{5}{12}\right)+\dfrac{5}{9}:\left(\dfrac{1}{15}-\dfrac{2}{3}\right)\)
\(=\dfrac{8}{9}:-\dfrac{43}{132}+\dfrac{5}{9}:-\dfrac{3}{5}\)
\(=\dfrac{8}{9}\cdot-\dfrac{132}{43}+\dfrac{5}{9}\cdot-\dfrac{5}{3}\)
\(=-\dfrac{352}{129}+-\dfrac{25}{27}\)
\(=\dfrac{-4243}{1161}\)
28 tháng 6 2015
a) => \(\left(\frac{1}{3}-\frac{5}{6}x\right)^3=\frac{5}{6}-\frac{21}{54}=\frac{24}{54}=\frac{4}{9}\)
=> \(\frac{1}{3}-\frac{5}{6}x=\sqrt[3]{\frac{4}{9}}\) => \(\frac{5}{6}x=\frac{1}{3}-\sqrt[3]{\frac{4}{9}}\) => \(x=\frac{6}{5}.\left(\frac{1}{3}-\sqrt[3]{\frac{4}{9}}\right)\)
b) \(\frac{1}{3}\left(\frac{1}{2}x-1\right)^4=\frac{1}{12}-\frac{1}{16}=\frac{1}{48}\) => \(\left(\frac{1}{2}x-1\right)^4=\frac{3}{48}=\frac{1}{16}\)
=> \(\frac{1}{2}x-1=\frac{1}{2}\) hoặc \(\frac{1}{2}x-1=-\frac{1}{2}\)
=> \(\frac{1}{2}x=\frac{3}{2}\) hoặc \(\frac{1}{2}x=\frac{1}{2}\) => x = 3 hoặc x = 1
c) \(\left(1+5\right).\left(\frac{3}{5}\right)^{x-1}=\frac{54}{25}\) => \(\left(\frac{3}{5}\right)^{x-1}=\frac{9}{25}=\left(\frac{3}{5}\right)^2\)
=> x - 1= 2 => x = 3
d) \(\left(1+\left(\frac{2}{3}\right)^2\right).\left(\frac{2}{3}\right)^x=\frac{101}{243}\) => \(\frac{13}{9}.\left(\frac{2}{3}\right)^x=\frac{101}{243}\)
=> \(\left(\frac{2}{3}\right)^x=\frac{101}{243}:\frac{13}{9}=\frac{101}{351}\) (có lẽ đề sai)
2) \(\frac{1}{27^{11}}=\frac{1}{\left(3^3\right)^{11}}=\frac{1}{3^{33}}\); \(\frac{1}{81^8}=\frac{1}{\left(3^4\right)^8}=\frac{1}{3^{32}}\)
Vì 333 > 332 => \(\frac{1}{3^{33}}\) < \(\frac{1}{3^{32}}\) => \(\frac{1}{27^{11}}\) < \(\frac{1}{81^8}\)
b) \(\frac{1}{3^{99}}=\frac{1}{\left(3^3\right)^{33}}=\frac{1}{27^{33}}
8
0
CT
24 tháng 8 2018
a, -5/11.7/15.(11/-5)(-30)
=(-5/11.11/-5).(7/15.-30)
=1.7.(-30)/15
=1.7.(-2).15/15
=1.7.(-2)
=-14
b,(11/12):(33/36).3/5
=11/12:(11.3/12.3).3/5
=11/12:11/12.3/5
=1.3/5
=3/5
c,(-5/-9).3/11+(-13/18).3/11
=5/9.3/11+ -13/18.3/11
=3/11.(5/9+ -13/18)
=3/11.(10/18+ -13/18)
=3/11.-3/18
= -9/198
= -1/22
Bài 2:
a,-7/15.5/8.15/7.(-16)
=(-7/15.15/7)(5/8. -16)
= -1.-10
= 10
b,(-1/-2).16/5+(-1/-2)(-11/5)
= 1/2.16/5+1/2. (-11/5)
=1/2.(16/5+ -11/5)
=1/2.5/5
=1/2.1
=1/2
học tốt nha bạn. chúc bạn thành công
\(2\frac{3}{11}\times1\frac{1}{12}\times2,22\)
\(=\frac{25}{11}\times\frac{13}{12}\times2,22\)
\(=\frac{325}{132}\times2,22=\frac{481}{88}\)
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