Ответ:

  1. \(\sqrt[3]{-125}+\frac18\sqrt[6]{64}=-5+\frac18\cdot2=-5+\frac14=-\frac{19}{4}\).
  2. \(\sqrt[5]{32}-0.5\sqrt[3]{-216}=2-0.5\cdot(-6)=2+3=5\).
  3. \(-\frac13\sqrt[4]{81}+\sqrt[4]{625}=-\frac13\cdot3+5=-1+5=4\).
  4. \(\sqrt[3]{-1000}-\frac14\sqrt[4]{256}=-10-\frac14\cdot4=-10-1=-11\).
  5. \(\sqrt[5]{\frac1{243}}+\sqrt[3]{-0.001}-\sqrt[4]{0.0016}=\frac13-0.1-0.2=\frac13-\frac3{10}=\frac1{30}\).

Ответ: 1) \(-\frac{19}{4}\); 2) \(5\); 3) \(4\); 4) \(-11\); 5) \(\frac1{30}\).