Zapisz w postaci jednej potęgi [latex] 3^{3} * 3^{8} * ( 3^{2}) {5} [/latex] Oblicz [latex] sqrt{2 frac{7}{9} } [/latex] [latex] sqrt[3]{3 frac{3}{8} } [/latex]

[latex]3^3cdot3^8cdot(3^2)^5=3^3cdot3^8cdot3^{10}=3^{3+8+10}=3^{21}\ \ sqrt{2frac79}=sqrt{frac{25}{9}}=sqrt{frac{5^2}{3^2}}=(sqrtfrac53)^2=frac53\ sqrt[3]{3frac38}=sqrt[3]{frac{27}{8}}=sqrt[3]{frac{3^3}{2^3}}=(sqrt[3]{frac32})^3=frac32[/latex]