Найдите значение выражения 1212⋅12601215⋅1230\frac{\sqrt[12]{12}\cdot \sqrt[60]{12}}{\sqrt[15]{12}\cdot \sqrt[30]{12}}1512⋅30121212⋅6012▸Ответ1▸Решение1212⋅12601215⋅1230=12112⋅1216012115⋅12130=\frac{\sqrt[12]{12}\cdot\sqrt[60]{12}}{\sqrt[15]{12}\cdot\sqrt[30]{12}}=\frac{12^\frac{1}{12}\cdot 12^\frac{1}{60}}{12^{\frac{1}{15}}\cdot 12^\frac{1}{30}}=1512⋅30121212⋅6012=12151⋅1230112121⋅12601=12112+160−115−130=12560+160−460−260=12^{\frac{1}{12}+\frac{1}{60}-\frac{1}{15}-\frac{1}{30}}=12^{\frac{5}{60}+\frac{1}{60}-\frac{4}{60}-\frac{2}{60}}=12121+601−151−301=12605+601−604−602=12660−660=120=112^{\frac{6}{60}-\frac{6}{60}}=12^0=112606−606=120=1