29. Вычислить: 1) \(\sqrt[3]{10^6}\); 2) \(\sqrt[3]{31^2}\); 3) \(\sqrt[4]{\left(\frac{1}{2}\right)^{12}}\); 4) \(\sqrt[4]{\left(\frac{1}{3}\right)^{16}}\).

1. \(\sqrt[3]{10^6}=10^2=100\).
2. \(\sqrt[3]{31^2}=\sqrt[3]{961}\).
3. \(\sqrt[4]{\left(\frac{1}{2}\right)^{12}}=\left(\frac{1}{2}\right)^3=\frac{1}{8}\).
4. \(\sqrt[4]{\left(\frac{1}{3}\right)^{16}}=\left(\frac{1}{3}\right)^4=\frac{1}{81}\).

Ответ: 1) 100; 2) \(\sqrt[3]{961}\); 3) \(\frac{1}{8}\); 4) \(\frac{1}{81}\).