3.126
b)
\frac{6*27^{0,25}+3^{1,75}}{[6*9^{-\frac{2}{3}}-3*(-\frac{1}{3})^{\frac{4}{3}}]^{-\frac{9}{4}}}=
=\frac{2*3*(3^3)^{\frac{1}{4}}+3^{\frac{7}{4}}}{[2*3*(3^2)^{-\frac{2}{3}}-3*(-3)^{-\frac{4}{3}}]^{-\frac{9}{4}}}=
=\frac{2*3*3^{\frac{3}{4}}+3^{\frac{7}{4}}}{(2*3*3^{-\frac{4}{3}}-3*3^{-\frac{4}{3}})^{-\frac{9}{4}}}=
=\frac{2*3^{\frac{7}{4}}+3^{\frac{7}{4}}}{(2*3^{1-\frac{4}{3}}-3^{1-\frac{4}{3}})^{-\frac{9}{4}}}=
=\frac{3^{\frac{7}{4}}(2+1)}{(2*3^{-\frac{1}{3}}-3^{-\frac{1}{3}})^{-\frac{9}{4}}}=\frac{3^{\frac{7}{4}}*3}{[3^{-\frac{1}{3}}(2-1)]^{-\frac{9}{4}}}=
\frac{3^{\frac{7}{4}+1}}{(3^{-\frac{1}{3}})^{-\frac{9}{4}}}=\frac{3^{\frac{11}{4}}}{3^{(-\frac{1}{3})*(-\frac{9}{4})}}=\frac{3^{\frac{11}{4}}}{3^{\frac{3}{4}}}=
=3^{\frac{11}{4}-\frac{3}{4}}=3^{ \frac{8}{4} }=3^2