107. Вычислите: 1) \(\sqrt[3]{10^6}\); 2) \(\sqrt[3]{3^{12}}\); 3) \(\sqrt[4]{\left(\frac{1}{2}\right)^{12}}\); 4) \(\sqrt[4]{\left(\frac{1}{3}\right)^{16}}\); 5) \(\sqrt{32^2}\).

1. \(\sqrt[3]{10^6}=10^{6/3}=10^2=100\).

2. \(\sqrt[3]{3^{12}}=3^{12/3}=3^4=81\).

3. \(\sqrt[4]{\left(\frac{1}{2}\right)^{12}}=\left(\frac{1}{2}\right)^3=\frac{1}{8}\).

4. \(\sqrt[4]{\left(\frac{1}{3}\right)^{16}}=\left(\frac{1}{3}\right)^4=\frac{1}{81}\).

5. \(\sqrt{32^2}=|32|=32\).

Ответ: 1) 100; 2) 81; 3) \(\frac{1}{8}\); 4) \(\frac{1}{81}\); 5) 32.