Ответ:

  1. \(\sqrt[3]{\frac{64}{125}}=\sqrt[3]{\frac{4^3}{5^3}}=\frac45\).
  2. \(\sqrt[4]{\frac{16}{81}}=\sqrt[4]{\frac{2^4}{3^4}}=\frac23\).
  3. \(\sqrt[3]{3\frac38}=\sqrt[3]{\frac{27}{8}}=\frac32\).
  4. \(\sqrt[5]{7\frac{19}{32}}=\sqrt[5]{\frac{243}{32}}=\sqrt[5]{\frac{3^5}{2^5}}=\frac32\).

Ответ: 1) \(\frac45\); 2) \(\frac23\); 3) \(\frac32\); 4) \(\frac32\).