[tex]\dfrac{9^{1200}}{3^{2402}+3^{2400}}=\dfrac{(3^2)^{1200}}{3^2\cdot3^{2400}+3^{2400}}=\dfrac{3^{2400}}{(3^2+1)\cdot3^{2400}}=\dfrac{3^{2400}}{(9+1)\cdot3^{2400}}=\\\\\\=\dfrac{\not3^{2400}}{10\cdot\not3^{240}}=\dfrac{1}{10}[/tex]
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[tex]\dfrac{9^{1200}}{3^{2402}+3^{2400}}=\dfrac{(3^2)^{1200}}{3^2\cdot3^{2400}+3^{2400}}=\dfrac{3^{2400}}{(3^2+1)\cdot3^{2400}}=\dfrac{3^{2400}}{(9+1)\cdot3^{2400}}=\\\\\\=\dfrac{\not3^{2400}}{10\cdot\not3^{240}}=\dfrac{1}{10}[/tex]
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