Question

(3/5)^-8*(5/3)^-6-3^-11(1/3)^-9
Помогите решить

Answer 1

$( frac{3}{5} )^{-8}*( frac{5}{3})^{-6}-3^{-11}*( frac{1}{3} )^{-9}=frac{5^{8}}{3^{8}} *frac{3^{6}}{5^{6}}- frac{1}{3^{11}} *3^{9}=frac{5^{8-6}}{3^{8-6}} - frac{1}{3^{11-9}} =$$frac{5^{2}}{3^{2}} - frac{1}{3^{2}} = frac{25-1}{9} = frac{24}{9} =frac{8}{3}$