Question

Аааа срочно,вы спасёте мою жизнь,пожалуйста,желательно расписать действия....ну или нет главное помогите

Answer 1

$1)(7^{4})^{5} :(7^{9})^{2} =7^{20}:7^{18}\\\\7^{20}:7^{18} =7^{20}:7^{18} \\\\\\2)8^{6}:16^{4}=(2^{3})^{6}:(2^{4})^{4}\\\\\\3)\frac{11^{16}*(11^{7})^{3}}{(11^{9})^{4}}=\frac{11^{16}*11^{21}}{11^{36}} =11^{16+21-36}=11\\\\\\4)\frac{36^{3}*216^{2}}{6^{12}}=\frac{(6^{2})^{3}*(6^{3})^{2}}{6^{12}} =\frac{6^{6}*6^{6}}{6^{12}}=\frac{6^{6+6}}{6^{12}}=\frac{6^{12} }{6^{12}}=1\\\\\\5)\frac{2^{9}*5^{9}}{10^{6}} =\frac{(2*5)^{9}}{10^{6}}$

$\frac{(2*5)^{9}}{10^{6}} =\frac{(2*5)^{9}}{10^{6}} \\\\\frac{10^{9}}{10^{6}}= \frac{10^{9}}{10^{6}}\\\\10^{3}=10^{3}\\\\\\6)4^{19}*0,25^{17}=4^{2}*4^{17}*0,25^{17}\\\\4^{19}*(4^{-1}) ^{17}=4^{2}*4^{17}*(4^{-1}) ^{17}\\\\4^{19}*4 ^{-17}=4^{2}*4^{17}*4^{-17}\\\\4^{19-17}=4^{2+17-17}\\\\4^{2}=4^{2}\\\\16=16\\\\\\7)\frac{18^{6} }{64*27^{4}}=\frac{(2*3^{2})6^{2}}{2^{6}*(3^{3})^{4}} \\\\\frac{(2*3^{2})^{6}}{2^{6}*(3^{3})^{4}}=\frac{(2*3^{2})6^{2}}{2^{6}*(3^{3})^{4}}$

$\frac{2^{6}*3^{12}}{2^{6}*3^{12}}=\frac{2^{6}*3^{12}}{2^{6}*3^{12}}\\\\1=1\\\\\\8)\frac{24^{5} }{4^{7}*9^{2}} =\frac{(2^{3}*3)^{5} }{(2^{2})^{7}*(3^{2})^{2}} =\frac{2^{15}*3^{5}}{2^{14}*3^{4}} =2^{15-14}*3^{5-4}=2*3=6$

$1)(7^{4})^{5}:(7^{9} )^{2}=7^{20}:7^{18}\\\\7^{20}:7^{18} =7^{20}:7^{18} \\\\7^{20-18}=7^{20-18}\\\\7^{2}=7^{2}\\\\49=49\\\\\\2)8^{6}:16^{4} =(2^{3})^{6}:(2^{4})^{4} \\\\(2^{3})^{6}:(2^{4})^{4} =(2^{3})^{6}:(2^{4})^{4} \\\\2^{18}:2^{16} =2^{18}:2^{16} \\\\2^{18-16}=2^{18-16}\\\\2^{2}=2^{2} \\\\4=4$