Odpowiedź:
[tex]a) \ \sqrt[3]{64\cdot0,027} = \sqrt[3]{64} \cdot\sqrt[3]{0,027} = \sqrt[3]{4^{3}}\cdot\sqrt[3]{0,3^{3}} = 4\cdot0,3 = 1,2\\\\\\c) \ \sqrt[3]{\frac{1}{8}}\cdot\sqrt[3]{\frac{8}{27}}\cdot\sqrt[3]{\frac{27}{64}} = \sqrt[3]{\frac{1}{8}\cdot\frac{8}{27}\cdot\frac{27}{64}} = \sqrt[3]{\frac{1}{64}} = \sqrt[3]{(\frac{1}{4})^{3}} = \frac{1}{4}\\\\\\e) \ \sqrt[3]{\frac{0,008}{125}} = \frac{\sqrt[3]{0,008}}{\sqrt[3]{125}}=\frac{\sqrt[3]{0,2^{3}}}{\sqrt[3]{5^{3}}}=\frac{0,2}{5} =\frac{2}{50} = \frac{4}{100} =0,04[/tex]
[tex]g) \frac{\sqrt[3]{80}}{\sqrt[3]{10}} = \sqrt[3]{\frac{80}{10}} = \sqrt[3]{8} = \sqrt[3]{2^{3}} = 2[/tex]
Szczegółowe wyjaśnienie:
[tex]\frac{\sqrt[n]{a}}{\sqrt[n]{b}} = \sqrt[n]{\frac{a}{b}}} \ \ (b\neq 0)[/tex]
