a)
[tex]\sqrt[3]{100} \cdot\sqrt[3]{10} =\sqrt[3]{100\cdot10} =\sqrt[3]{10^2\cdot10} =\sqrt[3]{10^3} =10[/tex]
prawda
b)
[tex]\sqrt[3]{-\frac{5}{4}} \cdot\sqrt[3]{-\frac{25}{2}} =\sqrt[3]{\frac{5}{4}\cdot\frac{25}{2} }=\sqrt[3]{\frac{125}{8}} =\sqrt[3]{(\frac{5}{2})^3} =\frac{5}{2}[/tex]
prawda
c)
[tex]\sqrt[3]{6,4} \cdot\sqrt[3]{100} =\sqrt[3]{6,4\cdot100} =\sqrt[3]{64\cdot10} =\sqrt[3]{4^3\cdot10} =4\sqrt[3]{10}[/tex]
fałsz
d)
[tex]\sqrt[3]{0,1} \cdot\sqrt[3]{0,01} =\sqrt[3]{0,1\cdot0,01} =\sqrt[3]{0,001} =\sqrt[3]{0,1^3} =0,1[/tex]
prawda