Ответ:

  1. \(\sqrt[3]{10^6}=10^{6:3}=10^2=100\).
  2. \(\sqrt[3]{3^{12}}=3^{12:3}=3^4=81\).
  3. \(\sqrt[4]{\left(\frac{1}{2}\right)^{12}}=\left(\frac{1}{2}\right)^{12:4}=\left(\frac{1}{2}\right)^3=\frac{1}{8}\).
  4. \(\sqrt[4]{\left(\frac{1}{3}\right)^{16}}=\left(\frac{1}{3}\right)^{16:4}=\left(\frac{1}{3}\right)^4=\frac{1}{81}\).

Ответ: 1) 100; 2) 81; 3) 1/8; 4) 1/81.