a) [latex] (2-3sqrt{2})(5+4sqrt{2})-3sqrt{18} [/latex] b) [latex] (-2frac{2}{5}+0,8-0,4:1frac{1}{5})+12 [/latex] c) [latex] (-2frac{1}{4})^{-2} [/latex] d) [latex] frac{8^{-14}*32}{16^{-9}} [/latex]

a)[latex](2-3sqrt{2})(5+4sqrt{2})-3sqrt{18} = 10+8sqrt{2}-15sqrt{2}-24=-14-7sqrt{2} [/latex] b)[latex](-2frac{2}{5}+0,8-0,4:1frac{1}{5})+12 =(-2,4+0,8-0,4:1,2)+12=(-frac{16}{10}-frac{1}{3})+12=(-frac{48}{30}-frac{10}{30})+24=-frac{58}{30}+12=12-1frac{28}{30}=10frac{2}{30}=10frac{1}{15}[/latex] c)[latex](-2frac{1}{4})^{-2} =(-frac{9}{4})^{-2}=(-frac{4}{9})^{2}=frac{16}{81}[/latex]