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\(A=\frac{15.3^{11}+4.27^4}{9^7}=\frac{3.5.3^{11}+4.3^{3.4}}{3^{2.7}}=\frac{3^{12}.5+3^{12}.4}{3^{14}}=\frac{3^{12}\left(5+4\right)}{3^{14}}=\frac{9}{3^2}=\frac{9}{9}=1\)
\(F=\frac{15.3^{11}+4.27^4}{9^7}=\frac{5.3.3^{11}+4.\left(3^3\right)^4}{\left(3^2\right)^7}=\frac{5.3^{12}+4.3^{12}}{3^{14}}=\frac{3^{12}.\left(5+4\right)}{3^{14}}=\frac{3^{12}.9}{3^{12}.9}=1\)
\(G=\frac{5.2^{13}.4^{11}-16^9}{\left(3.2^{17}\right)^2}\)
\(G=\frac{5.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}{3^2.2^{34}}\)
\(G=\frac{5.2^{13}.2^{22}-2^{36}}{3^2.2^{34}}\)
\(G=\frac{5.2^{35}-2^{36}}{3^2.2^{34}}\)
\(G=\frac{2^{35}.\left(5-2\right)}{3^2.2^{34}}\)
\(G=\frac{2^{35}.3}{3^2.2^{34}}=\frac{2}{3}\)
\(\frac{15.3^{11}+4.27^4}{9^7}\)
\(=\frac{5.3.3^{11}+4.\left(3^3\right)^4}{\left(3^2\right)^7}\)
\(=\frac{5.3^{12}+4.3^{12}}{3^{14}}\)
\(=\frac{3^{12}.\left(5+4\right)}{3^{14}}\)
\(=\frac{3^{12}.9}{3^{14}}\)
\(=\frac{3^{12}.3^2}{3^{14}}\)
\(=\frac{3^{14}}{3^{14}}\)
\(=1\)
Chúc bạn học tốt !!!
\(A=\frac{15.3^{11}+4.27^4}{9^7}\)
\(\Rightarrow\frac{3.5.3^{11}+4.3^{3.4}}{3^{2.7}}\)
\(\Rightarrow\frac{3^{12}.5+3^{12}.4}{3^{14}}\)
\(\Rightarrow\frac{3^{12}\left(5+4\right)}{3^{14}}\)
\(\Rightarrow\frac{9}{3^2}=\frac{9}{9}=1\)
Vậy ....
\(x=\frac{\left[6+3^2.2-6.3^2\right]^2}{\left[3^2+3.3^2-3^4\right]^2}=\frac{\left[6\left[1+3-9\right]\right]^2}{\left[9+27-81\right]^2}=\frac{\left[-30\right]^2}{\left[-45\right]^2}=\frac{900}{2025}=\frac{4}{9}\)
Ta có: \(\frac{7+\frac{7}{11}+\frac{7}{23}+\frac{7}{31}}{9+\frac{9}{11}+\frac{9}{23}+\frac{9}{31}}=\frac{7.\left(1+\frac{1}{11}+\frac{1}{23}+\frac{1}{31}\right)}{9.\left(1+\frac{1}{11}+\frac{1}{23}+\frac{1}{31}\right)}=\frac{7}{9}\)\(\frac{7}{9}\)
Chúc e học tốt!
\(\frac{11}{9}.\frac{15}{4}-\frac{11}{4}.\frac{7}{9}-\frac{11}{9}.\frac{5}{4}\)
=\(\frac{11}{9}.\frac{15}{4}-\frac{11}{9}.\frac{7}{4}-\frac{11}{9}.\frac{5}{4}\)
=\(\frac{11}{9}\).\(\left(\frac{15}{4}-\frac{7}{4}-\frac{5}{4}\right)\)
=\(\frac{11}{9}\).\(\frac{3}{4}\)
=\(\frac{11.3}{3.3.4}\)
=\(\frac{11}{12}\)
Chúc bn học tốt
Có \(\frac{15.3^{11}+4.274}{9^7}=\frac{5.3.3^{11}+1096}{\left(3^2\right)^7}=\frac{5.3^{12}+1096}{3^{14}}=\frac{5.1+1096}{3^2}=\frac{5+1096}{9}=\frac{1101}{9}\)