32. Вычислить: 1) ∛(−125) + (1/8)·⁶√64; 2) ⁵√32 − (1/2)·∛(−216); 3) −(1/3)·⁴√81 + ⁴√625; 4) ∛(−1000) − (1/4)·⁴√256; 5) √(1/243) + ∛(−0,001) − ⁴√0,0016.

1. \(\sqrt[3]{-125}+\frac18\sqrt[6]{64}=-5+\frac18\cdot2=-\frac{19}{4}\).
2. \(\sqrt[5]{32}-\frac12\sqrt[3]{-216}=2-\frac12(-6)=5\).
3. \(-\frac13\sqrt[4]{81}+\sqrt[4]{625}=-\frac13\cdot3+5=4\).
4. \(\sqrt[3]{-1000}-\frac14\sqrt[4]{256}=-10-\frac14\cdot4=-11\).
5. \(\sqrt{\frac1{243}}+\sqrt[3]{-0.001}-\sqrt[4]{0.0016}=\frac{\sqrt3}{27}-0.1-0.2=\frac{\sqrt3}{27}-0.3\).

Ответ: 1) \(-\frac{19}{4}\); 2) \(5\); 3) \(4\); 4) \(-11\); 5) \(\frac{\sqrt3}{27}-0.3\).