29. Вычислите: 1) \(\sqrt[3]{10^6}\); 2) \(\sqrt[3]{8^{12}}\); 3) \(\sqrt[4]{\left(\frac{1}{2}\right)^{12}}\); 4) \(\sqrt[4]{\left(\frac{1}{3}\right)^{16}}\).

1. \(\sqrt[3]{10^6}=10^{6/3}=10^2=100\).
2. \(\sqrt[3]{8^{12}}=8^{12/3}=8^4=4096\).
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) 4096; 3) \(\frac{1}{8}\); 4) \(\frac{1}{81}\).