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NT
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1 tháng 8 2023
\(\dfrac{5^{102}\cdot9^{1009}}{3^{2018}\cdot25^{50}}\)
\(=\dfrac{5^{102}\cdot\left(3^2\right)^{1009}}{3^{2018}\cdot\left(5^2\right)^{50}}\)
\(=\dfrac{5^{102}\cdot3^{2018}}{3^{2018}\cdot5^{100}}\)
\(=\dfrac{5^2\cdot1}{1\cdot1}\)
\(=25\)
![](https://rs.olm.vn/images/avt/0.png?1311)
14 tháng 4 2019
\(\frac{22}{25}.\left(\frac{5}{11}-\frac{8}{9}\right)-\frac{8}{9}\left(\frac{27}{4}-\frac{22}{25}\right)\)
HA
14 tháng 4 2019
\(\frac{22}{25}.\left(\frac{5}{11}-\frac{8}{9}\right)-\frac{8}{9}.\left(\frac{27}{4}-\frac{22}{25}\right)=\frac{22}{25}.\frac{5}{11}-\frac{22}{25}.\frac{8}{9}-\frac{8}{9}.\frac{27}{4}+\frac{8}{9}.\frac{22}{25}=\frac{2}{5}-\frac{6}{1}=\frac{-28}{5}\)
HH
0
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\(\left(2^5\cdot9-2^5\cdot2018\right):2^7\)
\(=2^5\left(9-2018\right):2^7\)
\(=2^5\cdot\left(-2009\right):2^7\)
\(=-2009:2^2\)
\(=-2009:4\)
\(=\frac{-2009}{4}\)