a) \(\dfrac{\sqrt[3]{384}}{\sqrt[3]{3}}+3\sqrt[3]{-54}+\sqrt[3]{432}\)
\(=\sqrt[3]{\dfrac{384}{3}}+3\sqrt[3]{-27.2}+\sqrt[3]{2.8.27}\)
\(=\sqrt[3]{128}-9\sqrt[3]{2}+6\sqrt[3]{2}\)
\(=\sqrt[3]{2.64}-9\sqrt[3]{2}+6\sqrt[3]{2}\)
\(=4\sqrt[3]{2}-9\sqrt[3]{2}+6\sqrt[3]{2}=\sqrt[3]{2}\)
b) \(\sqrt[3]{\dfrac{-27}{512}}+\dfrac{1}{8}\sqrt[3]{64}+\dfrac{5}{8}\sqrt[3]{-0,064}\)
\(=\dfrac{-3}{8}+\dfrac{1}{8}.4+\dfrac{5}{8}\left(-0,4\right)\)
\(=-\dfrac{3}{8}+\dfrac{1}{2}-\dfrac{5}{8}.\dfrac{2}{5}\)
\(=-\dfrac{3}{8}+\dfrac{1}{2}-\dfrac{1}{4}=-\dfrac{1}{8}\)
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