potegi i pierwiatki prosze o dokladne obliczenia

[latex](frac{1}{5})^5 cdot (frac{1}{2})^5:(frac{1}{10})^8=(frac{1}{2} cdot frac{1}{5})^5:(frac{1}{10})^8=(frac{1}{10})^5:(frac{1}{10})^8=(frac{1}{10})^{5-8}=\ =(frac{1}{10})^{-3}=10^3=1000[/latex] [latex]7^{77}:7=7^{77-1}=7^{76}[/latex] [latex] sqrt[3]{frac{4}{3}} :sqrt[3]{frac{9}{16}}+sqrt{4,9} cdot sqrt{frac{2}{5}}=sqrt[3]{frac{4}{3}:frac{9}{16}}+sqrt{frac{49}{10} cdot frac{2}{5}}=sqrt[3]{frac{4}{3} cdot frac{16}{9}}+sqrt{frac{49}{25}}=\ =sqrt[3]{frac{64}{27}}+sqrt{frac{49}{25}}=frac{4}{3}+frac{7}{5}=frac{20}{15}+frac{21}{15}=frac{41}{15}=2frac{11}{15}[/latex]