Pierwiastek nieparzystego stopnia. Oblicz: a) [latex] frac{ sqrt[3]{-16} }{5 sqrt[3]{2} } - frac{ sqrt[3]{-72} }{ sqrt[3]{-9} } [/latex] b) [latex] frac{ sqrt[5]{-128} }{ sqrt[5]{-4} } + frac{ sqrt[7]{-128} }{ sqrt[9]{-1} } [/latex]

a) [latex]frac{sqrt[3]{-16}}{5sqrt[3]{2}}-frac{sqrt[3]{-72}}{sqrt[3]{-9}}=[/latex] [latex]=frac{-2sqrt[3]{2}}{5sqrt[3]{2}}-frac{2sqrt[3]{-9}}{sqrt[3]{-9}}=[/latex] [latex]=-frac{2}{5}-2=-2frac{2}{5}[/latex] b) [latex]frac{sqrt[5]{-128}}{sqrt[5]{-4}}+frac{sqrt[7]{-128}}{sqrt[9]{-1}}=[/latex] [latex]=frac{2sqrt[5]{-4}}{sqrt[5]{-4}}+frac{-2}{-1}=[/latex] [latex]=2+2=4[/latex]

a) [latex]frac{ sqrt[3]{-16} }{5 sqrt[3]{2} } - frac{ sqrt[3]{-72} }{ sqrt[3]{-9} } =[/latex] [latex]frac{1}{5} sqrt[3]{ frac{-16}{2} }- sqrt[3]{frac{-72 }{-9}}=[/latex] [latex]frac{1}{5} sqrt[3]{-8}- sqrt[3]{8}=[/latex] [latex]-frac{2}{5}- 2==-2 frac{2}{5}[/latex] b) [latex]frac{ sqrt[5]{-128} }{ sqrt[5]{-4} } + frac{ sqrt[7]{-128} }{ sqrt[9]{-1} }=[/latex] [latex]sqrt[5]{frac{-128}{ -4}}- sqrt[7]{-128}=[/latex] [latex]sqrt[5]{32}- sqrt[7]{(-2)^7}=[/latex] [latex]sqrt[5]{2^5}+2=2+2=4[/latex]