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\(A=\frac{9^{14}.25^5.8^7}{18^{12}.625^{324}.24^3}\)
\(A=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{2^{12}.9^{12}.\left(5^4\right)^{324}.3^3.8^3}\)
\(A=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.\left(3^2\right)^{12}.5^{1296}.3^3.\left(2^3\right)^3}\)
\(A=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{24}.5^{1296}.3^3.2^9}\)
\(A=\frac{3^{28}.5^{10}.2^{21}}{2^{30}.3^{27}.5^{1296}}\)
\(A=\frac{3}{2^9.5^{1286}}\)
\(\frac{9^{14}.25^5.8^2.8^7}{18^{12}.625^3.24^3}=\frac{3^{28}.5^{10}.8^9}{2^{12}.9^{12}.5^{12}.3^3.2^9}\)\(=\frac{3^{28}.5^{10}.2^{27}}{2^{21}.5^{12}.3^{24}.3^3}=\frac{3^{28}.5^{10}.2^{27}}{2^{21}.5^{12}.3^{27}}\) \(=\frac{3.2^6}{5^2}=\frac{192}{25}=7,68\)
\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{\left(2.3^2\right)^{12}.\left(5^4\right)^3.\left(3.2^3\right)^3}=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.3^3.2^9}=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{27}.5^{12}}=\frac{3}{5^2}=\frac{3}{25}\)
Câu 1.4,685157095x1026
Câu 2.9,995023136x1021
\(\frac{9^{14}.25^5.8^7}{18^{12}.\left(25^2\right)^3.24^3}\)=\(\frac{9^{14}.25^5.8^7}{\left(9.2\right)^{12}.25^6.\left(8.3\right)^3}\)
=\(\frac{9^{14}.25^5.8^7}{9^{12}.2^{12}.25^6.8^3.3^3}\)=\(\frac{9^2.25^{-1}.8^4}{2^{12}.3^3}\)
=\(\frac{3^4.0,04.8^4}{8^4.3^3}\)=\(\frac{3.0,04}{1}\)
=3.0,04=0,12
k mình nhé