Найдите Значение Выражения[latex] 5^{6} * ( \frac{2}{5} )^{6} [/latex][latex] 4^{-3} * ( \frac{3}{4} )^{-3} [/latex][latex]( \frac{2}{6} )^{5} [/latex][latex] \frac{8^{4} }{12^{3} } [/latex][latex] \frac{3^{-5} }{9^{-3} } [/lat...

[latex]5^6*( \frac{2}{5})^6 = \frac{5^6*2^6}{5^6} =2^6=64[/latex] [latex]4^{-3}*( \frac{3}{4})^{-3} = \frac{4^{-3}*3^{-3}}{4^{-3}} = 3^{-3}= \frac{1}{27} [/latex] [latex]( \frac{2}{6})^5 = \frac{2^5}{(2*3)^5} =\frac{2^5}{2^5*3^5}= \frac{1}{3^5} = \frac{1}{243}[/latex] [latex] \frac{8^4}{12^3}= \frac{2^{12}}{2^6*3^3}= \frac{2^6}{3^3}= \frac{64}{27}=2 \frac{10}{27} [/latex] [latex] \frac{3^{-5}}{9^{-3}}= \frac{3^{-5}}{3^{-6}}=3[/latex]   [latex] \frac{10^{-5}}{15^{-3}}= \frac{2^{-5}*5^{-5}}{3^{-3}*5^{-3}}= \frac{3^3}{2^5*5^2}= \frac{27}{32*25}= \frac{27}{800} [/latex]

=[latex] 5^{6}* 2^{6} / 5^{6} = 2^{6} = 64[/latex] =[latex] 4^{-3}* (3/4)^{-3} = (1/4)^{3} * (4/3)^{3} = (1/3)^{3} = 1/27[/latex] =[latex] (2/6)^{5} = (2/2*3)^{5} = (1/3)^{5} = 1/243[/latex] = [latex] 8^{4} / 12^{3} = 2^{4}* 4^{4} / 3^{3} 4^{3} = 2^{4} 2^{2} / 3^{3}= 2^{6}/ 3^{3} =32/27[/latex] = [latex] 3^{-5}/ 9^{-3} = 3^{-5} / 3^{-6} = 3[/latex] = [latex] 10^{-5} / 15^{-3} = 2^{-5} 5^{-5} / 3^{-3} 5^{-3} = 3^{3} / 2^{5} 5^{2} = 27 / 800[/latex]