(-4/7)^3 nhân (-4/7)^4 nhân (4/7)^5
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](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)
Viết phân số thích hợp vào chỗ chấm:
A) 3/4 nhân ( 5/6+6/5 )= 3/4 nhân 5/6+3/4 nhân 6/5
B) 7/5 nhân ( 4/7-2/5 )= 7/5 nhân 4/7- 7/5 nhân 2/5
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\dfrac{3}{7}\)
b)\(\dfrac{9}{4}\)
c)\(\dfrac{1}{3}\)
d)\(\dfrac{41}{32}\)
e)\(\dfrac{73}{60}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{4}{5}.\frac{3}{7}+\frac{4}{5}.\frac{6}{7}-\frac{4}{5}.\frac{4}{14}\)
\(=\frac{4}{5}.\left(\frac{3}{7}+\frac{6}{7}-\frac{4}{14}\right)\)
\(=\frac{4}{5}.1\)
\(=\frac{4}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Cho \(A=\left(-\dfrac{4}{7}\right)^3\times\left(-\dfrac{4}{7}\right)^4\times\left(\dfrac{4}{7}\right)^5\)
\(A=\left(-\dfrac{4}{7}\right)^{3+4}\times\left(\dfrac{4}{7}\right)^5\)
\(A=\left(-\dfrac{4}{7}\right)^7\times\left(\dfrac{4}{7}\right)^5\)
\(-A=-\left[\left(-\dfrac{4}{7}\right)^7\times\left(\dfrac{4}{7}\right)^5\right]\)
\(-A=\left(-\dfrac{4}{7}\right)^7\times\left(-\dfrac{4}{7}\right)^5\)
\(-A=\left(-\dfrac{4}{7}\right)^{7+5}\)
\(-A=\left(-\dfrac{4}{7}\right)^{12}\)
\(A=-\left(\dfrac{4}{7}\right)^{12}\)