4. Возведите в степень: 1) \(\left(\frac{2}{5}\right)^2\) 2) \(\left(\frac{3}{4}\right)^3\) 3) \(\left(1\frac{1}{3}\right)^2\)

Решение:

1. \(\left(\frac{2}{5}\right)^2 = \frac{2^2}{5^2} = \frac{4}{25}\)

2. \(\left(\frac{3}{4}\right)^3 = \frac{3^3}{4^3} = \frac{27}{64}\)

3. \(\left(1\frac{1}{3}\right)^2 = \left(\frac{4}{3}\right)^2 = \frac{4^2}{3^2} = \frac{16}{9}\)

Ответ: 1) \(\frac{4}{25}\); 2) \(\frac{27}{64}\); 3) \(\frac{16}{9}\).