\(=\frac{9^{15}.6^{30}}{27^{21}.8^{11}}\)
\(=\frac{\left(3^2\right)^{15}.3^{30}.2^{30}}{\left(3^3\right)^{21}.\left(2^3\right)^{11}}\)
\(=\frac{3^{30}.3^{30}.2^{30}}{3^{63}.2^{33}}\)
\(=\frac{3^{60}.2^{30}}{2^{63}.3^{33}}=\frac{1}{2^3.3^3}=\frac{1}{216}\)
làm mẫu một bài còn lại tương tự nha bn =)
\(\frac{9^{15}.6^{30}}{27^{21}.8^{11}}=\frac{\left(3^2\right)^{15}.\left(2.3\right)^{30}}{\left(3^3\right)^{21}.\left(2^3\right)^{11}}=\frac{3^{60}.2^{30}}{3^{63}.2^{33}}=\frac{1}{3^3.2^3}\)
\(\frac{45^{12}.49^7}{35^{13}.27^8}=\frac{\left(5.3^2\right)^{12}.\left(7^2\right)^7}{\left(5.7\right)^{13}.\left(3^3\right)^8}=\frac{5^{12}.3^{24}.7^{14}}{5^{13}.7^{13}.3^{24}}=\frac{7}{5}\)
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\(\frac{9^{15}\cdot6^{30}}{27^{21}\cdot8^{11}}=\frac{\left(3^2\right)^{15}\cdot\left(2\cdot3\right)^{30}}{\left(3^3\right)^{21}\cdot\left(2^3\right)^{11}}=\frac{3^{30}\cdot2^{30}3^{30}}{3^{63}\cdot2^{33}}=\frac{3^{60}\cdot1}{3^{63}\cdot2^3}=\frac{1}{27\cdot8}=\frac{1}{216}\)
\(\frac{45^{12}\cdot49^7}{35^{13}\cdot27^8}=\frac{\left(3^2\cdot5\right)^{12}\left(7^2\right)^7}{\left(5\cdot7\right)^{13}\left(3^3\right)^8}=\frac{3^{24}\cdot5^{12}\cdot7^{14}}{5^{13}\cdot7^{13}\cdot3^{24}}=\frac{1\cdot1\cdot7}{5\cdot1\cdot1}=\frac{7}{5}\)
