349. Найдите значение степени: 1) \((\frac{1}{2})^4\); 2) \((\frac{2}{5})^3\); 3) \((1\frac{1}{3})^4\); 4) \((2\frac{2}{3})^2\).

1. \(\left(\frac{1}{2}\right)^4=\frac{1^4}{2^4}=\frac{1}{16}\).
2. \(\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\frac{8}{125}\).
3. \(1\frac{1}{3}=\frac{4}{3}\), поэтому \(\left(1\frac{1}{3}\right)^4=\left(\frac{4}{3}\right)^4=\frac{256}{81}\).
4. \(2\frac{2}{3}=\frac{8}{3}\), поэтому \(\left(2\frac{2}{3}\right)^2=\left(\frac{8}{3}\right)^2=\frac{64}{9}\).

Ответ: 1) \(\frac{1}{16}\); 2) \(\frac{8}{125}\); 3) \(\frac{256}{81}\); 4) \(\frac{64}{9}\).