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\(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.\left(5.2^2\right)^4}{\left(5^2\right)^5.\left(2^2\right)^5}=\frac{5^4.5^4.2^8}{5^{10}.2^{10}}=\frac{5^8.2^8}{2^{10}.2^{10}}=\frac{1}{5^2.5^2}=\frac{1}{25.4}=\frac{1}{100}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{5^4.20^4}{25^5.4^5}=\dfrac{25^2\left(5.4\right)^4}{25^5.4^5}=\dfrac{1.5^4.4^4}{25^3.4^5}=\dfrac{25^2.1}{25^3.4}=\dfrac{1}{25.4}=\dfrac{1}{100}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) `(5^4 . 20^4)/(25^3 .4^5)`
`=(5^4 . (5.4)^4)/((5^2)^3 .4^5)`
`= (5^4 . 5^4 . 4^4)/(5^6 . 4^5)`
`= (5^2)/4=25/4`
b) `(-10/3)^5 . (-6/5)^4`
`=-10/3 . [(-10/3) . (-6/5)]^4`
`= -10/3 . [ (-5.2 . (-2).3)/(3.5)]^4`
`=-10/3 . 4^4`
`=-2560/3`
A) \(=\dfrac{\left(5.20\right)^4}{\left(25.4\right)^5}=\dfrac{100^4}{100^5}=\dfrac{1}{100}\)
B)=\(\left(\dfrac{-10}{3}\right).\left(\dfrac{-10}{3}\right)^4.\left(\dfrac{-6}{5}\right)^4\)
=\(\left(\dfrac{-10}{3}\right).\left(\dfrac{-10}{3}.\dfrac{-6}{5}\right)^4\)
=\(\left(\dfrac{-10}{3}\right).\left(\dfrac{60}{15}\right)^4\)
=\(\left(\dfrac{-10}{3}\right).4^4\)
=\(\left(\dfrac{-10}{3}\right).256\)
=\(\dfrac{-2650}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(-0,8\cdot1\frac{9}{25}-\frac{4}{5}\cdot\frac{64}{25}\)
\(=\frac{-4}{5}\cdot\frac{34}{25}+\frac{-4}{5}\cdot\frac{64}{25}\)
\(=\frac{-4}{5}\left(\frac{34}{25}+\frac{64}{25}\right)\)
\(=\frac{-4}{5}\cdot\frac{98}{25}\)
\(=\frac{-392}{125}\)
Chắc sai =))
TL:
\(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.\left(4.5\right)^4}{\left(5^2\right)^5.4^5}=\frac{5^8.4^4}{5^{10}.4^5}=\frac{1}{5^2.4}=\frac{1}{25.4}=\frac{1}{100}\)
HT
54 . 204 / 255 . 45
= 54 . ( 4 . 5 )4 / (52)5 . 45
= 58 . 44 / 510 . 45
= 1 / 52 . 4
= 1 / 25 . 4
= 1 / 100