Вычислите: а)[latex] \frac{9^{6}+9 ^{7} }{3^{12}+3^{14}+3^{15}} [/latex] б)[latex] \frac{2^{16}-2^{18}+2^{19}}{16^{4}-16^{6}} [/latex] в)[latex] \frac{5^{12}-5^{13}-5^{14}-5^{15}}{25^{8}-25^{6}} [/latex] г)[latex]\frac{36^{2}+3...

a) [latex]= \frac{ 9^{6}(1+9) }{ 3^{12}(1+3 ^{2}+ 3^{3} } = \frac{ 9^{6}*10 }{ (3^{2}) ^{6}(1+9+ 27 } = \frac{ 9^{6}*10 }{9^{6}*37 }= \frac{10}{37} [/latex] б)=[latex] \frac{ 2^{16}(1-2^{2}+2^{3} ) }{ 16^{4}(1- 16^{2}) } = \frac{ (2 ^{4}) ^{4}(1-4+8 ) }{ 16^{4}(1- 256) }=\frac{ 16 ^{4}*5}{ 16^{4}*(- 255) }=- \frac{1}{51} [/latex] в)=[latex] \frac{ 5^{12}(1-5-5^{2}-5^{3})}{ 25^{6}( 25^{2}-1 } = \frac{ (5^{2}) ^{6}(-4-25-125)}{ 25^{6}( 625-1) } = \frac{ 25 ^{6}(-154)}{ 25^{6}(624) } =- \frac{2*11*7}{8*78} =- \frac{77}{312} [/latex] г)[latex]= \frac{ 36^{2}(1+36) }{6 ^{4}(1-6+6 ^{2}-6 ^{3} }= \frac{ 36^{2}(37) }{36 ^{2}(-5+36-216 )}= \frac{37}{-185} = -\frac{1}{5} [/latex]