a) 1/3 nhân 1/5 =
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
=1/2-1/3+1/3-1/4+...+1/a-1/(a-1)
=1/2-1/(a-1)
đề thiếu
![](https://rs.olm.vn/images/avt/0.png?1311)
X x \(\dfrac{3}{4}\)+ X x\(\dfrac{1}{5}\)+ X x \(\dfrac{1}{20}\)+ X= 1000
![](https://rs.olm.vn/images/avt/0.png?1311)
tính bằng cách thuân tiên nhất
(1-1/2) nhân (1-1/3) nhân (1-1/4) nhân (1-1/5) nhân (1-1/6)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bn làm nhân chia trước cộng trừ sau nhé.
áp dụng công thức bn nhé
chúc bn hộc tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(5^2.3^5.\left(\frac{3}{5}\right)^2\)
\(=25.243.\frac{9}{25}\)
\(=6075.\frac{9}{25}\)
\(=2187\)
b) \(4.32.2^3.\frac{1}{16}\)
\(=4.32.8.\frac{1}{16}\)
\(=128.8.\frac{1}{16}\)
\(=1024.\frac{1}{16}\)
\(=64\)
c) \(\left(-2\frac{1}{3}\right)^2.\left(-\frac{1}{4}\right)^2\)
\(=\frac{49}{9}.\frac{1}{16}\)
\(=\frac{49}{144}\)
d) \(\frac{9^5.5^7}{45^7}\)
\(=\frac{9^5}{9^7}\)
\(=\frac{1}{9^2}=\frac{1}{81}\)
e) 103 + 5.102 + 53
= 1000 + 5.100 + 125
= 1005 . 12500
= 13505
P/s: Mũ not ngũ ^^
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
= \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\)
= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
= \(1-\frac{1}{7}\)
= \(\frac{7}{7}-\frac{1}{7}\)
= \(\frac{6}{7}\)
2) \(\frac{7}{4}-x.\frac{4}{3}=\frac{5}{19}\)
\(x.\frac{4}{3}=\frac{7}{4}-\frac{5}{19}\)
\(x.\frac{4}{3}=\frac{133}{76}-\frac{20}{76}\)
\(x.\frac{4}{3}=\frac{113}{76}\)
\(x=\frac{113}{76}:\frac{4}{3}\)
\(x=\frac{399}{304}\)
VẬY \(x=\frac{399}{304}\)
b) \(\left(x+\frac{3}{4}\right).\frac{5}{7}=\frac{10}{9}\)
\(\left(x+\frac{3}{4}\right)=\frac{10}{9}:\frac{5}{7}\)
\(x+\frac{3}{4}=\frac{14}{9}\)
\(x=\frac{14}{9}-\frac{3}{4}\)
\(x=\frac{29}{36}\)
Vậy \(x=\frac{29}{36}\)
c) \(x.\frac{1}{2}+\frac{3}{2}.x=\frac{4}{5}\)
\(x.\left(\frac{1}{2}+\frac{3}{2}\right)=\frac{4}{5}\)
\(x.2=\frac{4}{5}\)
\(x=\frac{4}{5}:2\)
\(x=\frac{2}{5}\)
Vậy \(x=\frac{2}{5}\)
Chúc bạn học tốt !!!
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 5 : 3/4 - 4 4/5 : 3/4
= 5 . 4/3 - 24/5 . 4/3
= (5 - 24/5) . 4/3
= 1/5 × 4/3
= 4/15
b) -3/5 . 2/7 + (-3/7) . 3/5 + (-3/7)
= (-3/7) . (2/5 + 3/5 + 1)
= (-3/7) . 2
= -6/7
c) [(-4 2/7) . 7/11 + 7/11 . (5 1/3)] . 5 - 5 2/3
= (-30/7 . 7/11 + 7/11 . 16/3) . 5 - 17/3
= (-30/11 + 112/33) . 5 - 17/3
= 2/3 . 5 - 17/3
= 10/3 - 17/3
= -7/3
d) 5/39 . [(7 4/5) . (1 2/3) + (8 1/3) . (7 4/5)]
= 5/39 . (39/5 . 5/3 + 25/3 . 39/5)
= 5/39 . 39/5 . (5/3 + 25/3)
= 1 . 10
= 10
=
![](https://rs.olm.vn/images/avt/0.png?1311)
A = (1 - \(\frac{1}{2}\)) x (1 - \(\frac{1}{3}\)) x (1 - \(\frac{1}{4}\)) x (1 - \(\frac{1}{5}\)) x ... x (1 - \(\frac{1}{2014}\)) x (1 - \(\frac{1}{2015}\))
A = \(\frac{1}{2}\)x \(\frac{2}{3}\) x \(\frac{3}{4}\) x \(\frac{4}{5}\) x ... x \(\frac{2013}{2014}\)x \(\frac{2014}{2015}\)
A = \(\frac{1x2x3x4x...x2013x2014}{2x3x4x5x...x2014x2015}\)
A = \(\frac{1}{2015}\)
Vậy A = \(\frac{1}{2015}\)
~~~
\(\dfrac{1}{3}\times\dfrac{1}{5}=\dfrac{1}{35}\)
Chúc bạn học tốt