a) Ta có: \(A=\dfrac{3^{11}\cdot11+3^{11}\cdot21}{3^9\cdot2^5}\)
\(=\dfrac{3^{11}\left(11+21\right)}{3^9\cdot2^5}\)
=9
b) Ta có: \(B=\dfrac{75\cdot5^4+175\cdot5^4}{20\cdot25\cdot125-625\cdot75}\)
\(=\dfrac{5^6\left(3+7\right)}{5^6\cdot2^2-5^6\cdot3}\)
\(=10\)
c) Ta có: \(C=\dfrac{\left(3\cdot4\cdot2^{16}\right)^2}{11\cdot2^{13}\cdot4^{11}-16^9}\)
\(=\dfrac{3^2\cdot4^2\cdot2^{32}}{11\cdot2^{13}\cdot2^{22}-2^{36}}\)
\(=\dfrac{3^2\cdot2^{36}}{2^{35}\left(11-2\right)}\)
\(=2\)
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