Răspuns:
Explicație pas cu pas:
[tex](\frac{x^{-\frac{1}{3} }}{y^{\frac{1}{3} }})^9*\frac{(y^{\frac{4}{5} })^{10}*(xy)^{\frac{1}{2} }}{x^{-\frac{3}{2} }*(y^{22})^{\frac{1}{4} }} =[/tex]
[tex]=\frac{(x^{-\frac{1}{3} })^9}{(y^{\frac{1}{3} })^9}*\frac{y^{8} *x^{\frac{1}{2} }*y^{\frac{1}{2} }}{x^{-\frac{3}{2} }*y^{\frac{11}{2} }} =[/tex]
[tex]=\frac{x^{-3}}{y^3}*\frac{y^{8} *x^{\frac{1}{2} }*y^{\frac{1}{2} }}{x^{-\frac{3}{2} }*y^{\frac{1}{2} }} =[/tex]
[tex]=\frac{1}{x^3*y^3}*\frac{y^{8} *x^{\frac{1}{2} }*y^{\frac{1}{2} }*x^{\frac{3}{2} }}{y^{\frac{11}{2} }} =[/tex]
[tex]=\frac{x^2*y^{\frac{17}{2} }}{x^3*y^{\frac{17}{2} }} = \frac{1}{x}[/tex]
