\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}\) CÂU NÀY AI GIẢI ĐC KO Ạ
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\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)}{\left(-5\right)^{20}.3^{10}.3^2}=\frac{-5}{3^2}=-\frac{5}{9}\)
\(\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)}{3^{10}.3^2.\left(-5\right)^{20}}=\frac{-5}{3^2}=\frac{-5}{9}\)
T I C K cho mình nha cảm ơn chúc bạn học tốt nha
\(C=\left(\frac{3}{5}-\frac{4}{15}\right).\left(\frac{2}{7}-\frac{3}{14}\right)-\left(\frac{5}{9}-\frac{7}{27}\right).\left(1-\frac{3}{5}\right)+\left(1-\frac{11}{12}\right).\left(1+\frac{1}{12}\right)\)
\(C=\left(\frac{9}{15}-\frac{4}{15}\right).\left(\frac{4}{14}-\frac{3}{14}\right)-\left(\frac{15}{27}-\frac{7}{27}\right).\left(\frac{5}{5}-\frac{3}{5}\right)+\left(\frac{12}{12}-\frac{11}{12}\right).\left(\frac{12}{12}+\frac{1}{12}\right)\)
\(C=\frac{5}{15}.\frac{1}{14}.\frac{8}{27}.\frac{2}{5}.\frac{1}{12}.\frac{13}{12}\)
\(C=\frac{5.1.8.2.1.13}{15.14.27.5.12.12}\)
\(C=\frac{5.2.4.2.13}{3.5.14.27.5.4.3.2.2.3}\)
\(C=\frac{13}{3.14.27.5.3.3}\)
\(C=\frac{13}{51030}\)
\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{1.\left(-5\right)}{1.3^2}=-\frac{5}{9}\)
Chúc bạn học tốt
Giari thích :
\(3^{12}:3^{10}=3^{12-10}=3^2=9\)
\(\left(-5\right)^{21}:\left(-5\right)^{20}=\left(-5\right)^{21-20}=\left(-5\right)^1=\left(-5\right)\)
\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}\)
\(=\frac{\left(-5\right)}{3^2}\)
\(=\frac{-5}{9}\)
OK
Ta có:\(\frac{3^{10}\cdot\left(-5\right)\cdot21}{\left(-5\right)^{20}\cdot3^{12}}\)
\(=\frac{3^{10}\cdot\left(-5\right)\cdot21}{\left(-5\right)^{19}\cdot\left(-5\right)\cdot3^{12}}\)
\(=\frac{3\cdot7}{\left(-5\right)^{19}\cdot3^2}\)
\(=\frac{7}{\left(-5\right)^{19}\cdot3}\)
\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)}{\left(-5\right)^{20}.3^{10}.3^2}=\frac{-5}{3^2}=\frac{-5}{9}\)
\(=\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)^1}{\left(-5\right)^{20}.3^{10}.3^2}\)\(=\frac{\left(-5\right)^1}{3^2}\)\(=\frac{-5}{9}\)
Hok tốt !
\(\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)^1}{\left(-5\right)^{20}.3^{10}.3^2}=\frac{-5}{3^2}=\frac{-5}{9}\)