Вычисление корней:

1. $$\sqrt[8]{16^2} = \sqrt[8]{(2^4)^2} = \sqrt[8]{2^8} = 2$$
2. $$\sqrt[5]{32} = \sqrt[5]{2^5} = 2$$
3. $$\sqrt[4]{81} = \sqrt[4]{3^4} = 3$$
4. $$\sqrt[3]{27} = \sqrt[3]{3^3} = 3$$
5. $$\sqrt[3]{27^2} = \sqrt[3]{(3^3)^2} = \sqrt[3]{3^6} = 3^{\frac{6}{3}} = 3^2 = 9$$