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\(\frac{\frac{3}{4}}{\frac{1}{3}}=\frac{1}{4}\)
\(\frac{\frac{1}{2}}{\frac{\frac{6}{5}}{\frac{2}{6}}}=\frac{1}{720}\)
\(A=\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6}-\frac{5^{10}.7^4-25^5.49^2}{\left(125.7\right)3+5^9.\left(14\right)^3}\)
\(=\frac{2^{12}.3^5-\left(2^2\right)^6.\left(3^2\right)^2}{\left(2^2\right)^6.3^6+\left(2^3\right)^4.3^5}-\frac{5^{10}.7^3-\left(5^2\right)^5.\left(7^2\right)^2}{125^3.7^3+5^9.\left(2.7\right)^3}\)
\(=\frac{2^{12}.3^5-2^{12}.3^4}{2^{12}.3^6+2^{12}.3^5}-\frac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3+5^9.7^3.2^3}\)
\(=\frac{2^{12}.3^4\left(3-1\right)}{2^{12}.3^5\left(3+1\right)}-\frac{5^{10}.7^3\left(1-7\right)}{5^9.7^3\left(1+8\right)}\)
\(=\frac{2}{3.4}-\frac{5.\left(-6\right)}{9}=\frac{2}{12}-\frac{-30}{9}\)
\(=\frac{1}{6}+\frac{10}{3}=\frac{1}{6}+\frac{20}{6}=\frac{21}{6}=\frac{7}{2}\)
Bạn ơi cho mk hỏi chỗ đoạn kia bạn lấy 1-7 ở đâu và 1 + 8 ở đâu
\(\frac{2^{13}.5^{17}+2^{14}.5^{16}}{2^{14}.5^{17}}=\frac{2^{13}.1+1.5^{16}}{1.1}=2^{13}.5^{16}\)
\(\frac{\left(-2\right)^6\cdot3^7\cdot16}{6^4\cdot2^5\cdot9}\)
\(=\frac{2^6\cdot3^7\cdot2^4}{2^4\cdot3^4\cdot2^5\cdot3^2}\)
\(=\frac{2^{10}\cdot3^7}{2^9\cdot3^6}=2\cdot3=6\)
\(\text{Chúc bạn học tốt !}\)
\(\frac{\left(-2\right)^6.3^7.16}{6^4.2^5.9}\)
\(=\frac{2^6.3^7.2^4}{2^4.3^4.2^5.3^2}\)
\(=\frac{2^{10}.3^7}{2^9.3^6}=2.3=6\)