Matematické Fórum

ivanya · 14. 10. 2013 21:22

Prosim o kontrolu. Dakujem :)

$\frac{[(x-y)^{\frac{3}5{}}]^{-\frac{4}{3}}+ \sqrt[10]{(x-y)^{-8}}}{\sqrt[5]{(x-y)^{-2}}}\cdot \frac{x-y}{\sqrt[5]{(x-y)^{3}}}$ =

$\frac{(\frac{1}{(x-y)^{\frac{3}{5}}})^{\frac{4}{3}}+(\frac{1}{(x-y)})^{\frac{4}{5}}}{(\frac{1}{(x-y)})^{\frac{2}{5}}}\cdot \frac{(x-y)}{(x-y)^{\frac{3}{5}}}=$

$(\frac{1}{x-y})^{\frac{29}{15}}+(\frac{1}{x-y})^{\frac{2}{5}}\cdot (x-y)^{\frac{2}{5}}=$

$(\frac{1}{x-y})^{\frac{35}{15}}\cdot (x-y)^{\frac{2}{5}}=$

bismarck

↑ ivanya:

1,2 krok je správny, v exponente 29/15 je zle
$...=[(\frac{1}{x-y})^{ \frac{3}{5}\cdot \frac{4}{3}-\frac{2}{5}}+(\frac{1}{x-y})^{\frac{2}{5}}]\cdot (x-y)^{\frac{2}{5}}=...=2$