№13. Вычислить: 1) \(\sqrt[6]{36^3}\); 2) \(\sqrt[12]{64^2}\); 3) \(\sqrt[4]{\left(\frac{1}{25}\right)^2}\); 4) \(\sqrt[8]{625^4}\).

1. \(\sqrt[6]{36^3}=36^{3/6}=\sqrt{36}=6\).
2. \(\sqrt[12]{64^2}=64^{2/12}=64^{1/6}=2\), так как \(64=2^6\).
3. \(\sqrt[4]{\left(\frac{1}{25}\right)^2}=\left(\frac{1}{25}\right)^{2/4}=\sqrt{\frac{1}{25}}=\frac15\).
4. \(\sqrt[8]{625^4}=625^{4/8}=\sqrt{625}=25\).

Ответ: 1) 6; 2) 2; 3) \(\frac15\); 4) 25.