32. Вычислите: 1) ∛(−125) + ⅙√64; 2) ⁵√32 − 0,5·∛(−216); 3) −⅓·⁴√81 + ⁴√625; 4) ∛(−1000) − ¼·⁴√256; 5) ⁵√(1/243) + ∛(−0,001) − ⁴√0,0016.

1. \(\sqrt[3]{-125}+\frac{1}{6}\sqrt{64}=-5+\frac{8}{6}=-5+\frac{4}{3}=-\frac{11}{3}.\)
2. \(\sqrt[5]{32}-0.5\sqrt[3]{-216}=2-0.5(-6)=2+3=5.\)
3. \(-\frac{1}{3}\sqrt[4]{81}+\sqrt[4]{625}=-\frac{1}{3}\cdot3+5=-1+5=4.\)
4. \(\sqrt[3]{-1000}-\frac{1}{4}\sqrt[4]{256}=-10-\frac{1}{4}\cdot4=-11.\)
5. \(\sqrt[5]{\frac{1}{243}}+\sqrt[3]{-0.001}-\sqrt[4]{0.0016}=\frac{1}{3}-0.1-0.2=\frac{1}{30}.\)

Ответ: 1) \(-\frac{11}{3}\); 2) 5; 3) 4; 4) −11; 5) \(\frac{1}{30}\).