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\(5^4.20^4=\left(5\cdot20\right)^4=100^4\)
\(25^5\cdot4^5=\left(25\cdot4\right)^5=100^5\)
a) \(\frac{25^5.2^{10}}{20^4.5^4}=\frac{\left(5^2\right)^5.2^{10}}{100^4}=\frac{5^{10}.2^{10}}{\left(10^2\right)^4}=\frac{10^{10}}{10^8}=10^2=100\)
b) \(\frac{2^3.5^2.7^2.3^7}{49.5^3.3^6.11}=\frac{2^3.5^2.7^2.3^7}{7^2.5^3.3^6.11}=\frac{2^3.3}{5.11}=\frac{8.3}{55}=\frac{24}{55}\)
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 \(\frac{5^4.20^4}{25^5.4^5}=\frac{\left(5.20\right)^4}{\left(25.4\right)^5}=\frac{100^4}{100^5}=\frac{1}{100}\)
\(\frac{5^4.20^4}{25^5.4^5}=\frac{\left(5.20\right)^4}{\left(25.4\right)^5}=\frac{100^4}{100^5}=\frac{1}{100}\)
\(\frac{5^4\times20^4}{25^5\times4^5}=\frac{100^4}{100^5}=0.01\)
Đúng ko bn
\(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.5^4.\left(2^2\right)^4}{\left(5^2\right)^5.\left(2^2\right)^5}=\frac{5^4.5^4.2^8}{5^{10}.2^{10}}\)\(=\frac{5^8.2^8}{5^{10}.2^{10}}=\frac{1.1}{5^2.2^2}=\frac{1.1}{25.4}=\frac{1}{100}\)