[tex]\sqrt[3]{64}+\sqrt[3]{125} = \sqrt[3]{4^{3}}+\sqrt[3]{5^{3}} = 4+5 = 9\\\\b) \ \sqrt[3]{512}+\sqrt[3]{216} = \sqrt[3]{8^{3}}+\sqrt[3]{6^{3}} = 8+6 = 14\\\\c) \ \sqrt[3]{-3375}+\sqrt[3]{729} = \sqrt[3]{(-15)^{3}}+\sqrt[3]{9^{3}} = -15+9 = -6[/tex]
[tex]d) \ \sqrt[3]{1331}+\sqrt[3]{-2197} =\sqrt[3]{11^{3}}+\sqrt[3]{(-13)^{3}} = 11-13 = -2[/tex]
[tex]e) \ \sqrt[3]{\frac{1}{64}}+\sqrt[3]{-\frac{1}{1728}}=\sqrt[3]{(\frac{1}{4})^{3}}+\sqrt[3]{(-\frac{1}{12}})^{3} = \frac{1}4} -\frac{1}{12} = \frac{3}{12}-\frac{1}{12} = \frac{2}{12} = \frac{1}{6}\\\\f) \ \sqrt[3]{0,001}+\sqrt[3]{-0,343} = \sqrt[3]{0,1^{3}}+\sqrt[3]{(-0,7)^{3}} = 0,1-0,7 = -0,6[/tex]