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\(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.5^4.4^4}{5^{10}.4^5}=\frac{5^8.4^4}{5^{10}.4^5}=\frac{1}{5^2.4}=\frac{1}{25.4}=\frac{1}{100}\)
\(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.4^4.5^4}{\left(5^2\right)^5.4^4.4}=\frac{5^4.4^4.5^4}{5^{10}.4^4.4}=\frac{5^4.4^4.5^4}{5^4.5^4.5^2.4^4.4}=\frac{1}{5^2.4}=\frac{1}{100}\)
\(\left(-\frac{10}{3}\right)^5.\left(-\frac{6}{5}\right)^4=\frac{-\left(2.5\right)^5}{3^5}.\frac{\left(3.2\right)^4}{5^4}=\frac{-2^5.5^5.3^4.2^4}{3^5.5^4}=\frac{-2^9.5}{3}\)
Ta có: \(\left(-\frac{10}{3}\right)^5.\left(-\frac{6}{5}\right)^4=\frac{\left(-10\right)^5}{3^5}.\frac{\left(-6\right)^4}{5^4}=\frac{\left(-2.5\right)^5}{3^5}.\frac{\left(-2.3\right)^4}{5^4}=\frac{\left(-2\right)^5.5^5}{3^5}.\frac{\left(-2\right)^5.3^4}{5^4}=\frac{\left(-2\right)^5.5^5.\left(-2\right)^4.3^4}{3^5.5^4}\)\(=\frac{\left[\left(-2\right)^5.\left(-2\right)^4\right].5^5.3^4}{3^5.5^4}=\frac{\left(-2\right)^9.5}{3}=\frac{-512.5}{3}=-\frac{2560}{3}\)
Chuk bn hk tốt!
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:
\(\frac{5^4.20^4}{25^5.4^5}\)
\(=\)\(\frac{5^4.5^4.4^4}{\left(5^2\right)^5.4^5}\)
\(=\)\(\frac{5^8.4^4}{5^{10}.4^5}\)
\(=\)\(\frac{1}{25.4}\)
\(=\)\(\frac{1}{100}\)
\(\frac{5^4\times20^4}{25^5\times4^5}=\frac{100^4}{100^5}=0.01\)
Đúng ko bn
\(a,=\frac{4^2.4^3}{2^{10}}=4^5:2^{10}=\left(2^2\right)^5.:2^{10}=2^{10}:2^{20}=1\)
\(b,=\left(3^3\right)^5:3^8=3^{15}:3^8=3^7\)
\(c,=\left(3^3\right)^2.\left(5^2\right)^3=3^6.5^6=\left(3.6\right)^6=18^6\)
\(d,=\left(15^2\right)^4.9^4=225^4.9^4=\left(225.9\right)^4=2025^4\)
54. 204 / 255. 45 = (5 . 20)4 / (25 . 4)5 = 1004 / 1005 = 1004 / 100 . 1004 = 1/100
\(\frac{5^4.20^4}{25^5.4^5}=\frac{625.160000}{9765625.1024}=1048576\)
\(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.\left(5.2^2\right)^4}{\left(5^2\right)^5.\left(2^2\right)^5}=\frac{5^4.5^4.2^8}{5^{10}.2^{10}}=\frac{5^8.2^8}{5^{10}.2^{10}}=\frac{1}{5^2.2^2}=\frac{1}{25.4}=\frac{1}{100}\)
ta có \(\frac{5^4.20^4}{25^5.4^5}=\frac{\left(5.20\right)^4}{\left(25.4\right)^5}=\frac{100^4}{100^5}=\frac{1}{100}\)
\(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.5^4.4^4}{\left(5^2\right)^5.4^5}=\frac{5^8.4^4}{5^{10}.4^5}=\frac{1}{25.4}=\frac{1}{100}\)
minh lam ban