Ответ:

  1. \(16^{3/4}+\frac1{16}=8+\frac1{16}=\frac{129}{16}\);
  2. \(0.04^{-3/2}-0.125^{-2/3}=125-4=121\);
  3. \(8^{9/7-2/7}-3^{6/5-4/5}=8-3^{2/5}\);
  4. \(5^{-2}+\left(\frac15\right)^{-16}=\frac1{25}+5^{16}\).