54 . 204/255 . 45
TL:
\(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.5^4.4^4}{(5^2)^5.4^5}=\frac{5^85^4}{5^{10}.4^5}=\frac{1}{25.4}=\frac{1}{100}\)
Sửa đề:
\(\frac{5^4.20^4}{25^5.4^5}\)
\(=\)\(\frac{5^4.5^4.4^4}{\left(5^2\right)^5.4^5}\)
\(=\)\(\frac{5^8.4^4}{5^{10}.4^5}\)
\(=\)\(\frac{1}{25.4}\)
\(=\)\(\frac{1}{100}\)
`(5^4 . 20^4)/(25^5 . 4^5)`
`= (5^4 . (2^2 . 5)^4)/( (5^2)^5 . (2^2)^5)`
`= (5^4 . 2^8 . 5^4)/(5^{10} . 2^{10})`
`= (5^8 . 2^8)/(5^{10} . 2^{10})`
`= 1/(5^2 . 2^2)`
`= 1/(25.4)`
`= 1/100`
54. 204/ 255. 45
\(\frac{5^4.20^4}{25^5.4^5}\)\(=\)\(\frac{5^4.5^4.4^4}{\left(5^2\right)^5.4^5}\)\(=\) \(\frac{5^8.4^5}{5^{10}.4^5}\) \(=\) \(\frac{1}{25.4}\) \(=\) \(\frac{1}{100}\)
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