Ответ:

  1. \(\frac{3}{5}:\frac{4}{35}=\frac{3}{5}\cdot\frac{35}{4}=\frac{21}{4}\).
  2. \(\frac{1}{10}-\frac{39}{50}=\frac{5}{50}-\frac{39}{50}=-\frac{34}{50}=-\frac{17}{25}\).
  3. \(8,4:1,2=7\).
  4. \(\frac{3^7}{81}=\frac{3^7}{3^4}=3^3=27\).
  5. \(\sqrt{5^6}=5^3=125\).
  6. \(\frac{10^6}{2^5\cdot5^4}=\frac{2^6\cdot5^6}{2^5\cdot5^4}=2\cdot5^2=50\).

Ответ: 1) \(\frac{21}{4}\); 2) \(-\frac{17}{25}\); 3) 7; 4) 27; 5) 125; 6) 50.