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16 tháng 8 2018

\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.2^9.3^3}=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{27}.5^{12}}\)

\(=3.5^{-2}\)

6 tháng 2 2017

\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{\left(2.3^2\right)^{12}.\left(5^4\right)^3.\left(3.2^3\right)^3}=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.3^3.2^9}=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{27}.5^{12}}=\frac{3}{5^2}=\frac{3}{25}\)

22 tháng 12 2017

\(\frac{9^{14}.25^5.8^2.8^7}{18^{12}.625^3.24^3}=\frac{3^{28}.5^{10}.8^9}{2^{12}.9^{12}.5^{12}.3^3.2^9}\)\(=\frac{3^{28}.5^{10}.2^{27}}{2^{21}.5^{12}.3^{24}.3^3}=\frac{3^{28}.5^{10}.2^{27}}{2^{21}.5^{12}.3^{27}}\)  \(=\frac{3.2^6}{5^2}=\frac{192}{25}=7,68\)

22 tháng 12 2017

thanks

21 tháng 2 2018

\(2^9\div16^2+81^5\div3^{18}-125^7\div625^5\)

\(=2^9\div\left(2^4\right)^{^2}+\left(3^4\right)^{^5}\div3^{18}-\left(5^3\right)^{^7}\div\left(5^4\right)^{^5}\)

\(=2^9\div2^8+3^{20}\div3^{18}-5^{21}\div5^{20}\)

\(=2^1+3^2-5^1\)

\(=2+9-5\)

\(=6\)

15 tháng 8 2018

\(\frac{374}{506}=\frac{2.187}{253.2}=\frac{187}{253}\)

\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\)

\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.9^{12}.5^{12}.3^3.8^3}\)

\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.3^3.2^9}\)

\(=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{27}.5^{12}}\)

\(=\frac{3}{5^2}\)

19 tháng 2 2016

9^14.25^5.8^7 =           9^14.25^5.8^7              =9^2.8^4         =3\25

18^12.625^3.24^3         9^12.2^12.25^6.8^3.3^3   2^12.25.3^3