Вычислите: 1) \((\frac{2}{3})^2\) 2) \((\frac{1}{4})^2\) 3) \((\frac{2}{5})^3\) 4) \((\frac{2}{5})^2\) 5) \((\frac{1}{5})^3\) 6) \((1 \frac{1}{5})^2\)

Решение:

1. \( (\frac{2}{3})^2 = \frac{2^2}{3^2} = \frac{4}{9} \)
2. \( (\frac{1}{4})^2 = \frac{1^2}{4^2} = \frac{1}{16} \)
3. \( (\frac{2}{5})^3 = \frac{2^3}{5^3} = \frac{8}{125} \)
4. \( (\frac{2}{5})^2 = \frac{2^2}{5^2} = \frac{4}{25} \)
5. \( (\frac{1}{5})^3 = \frac{1^3}{5^3} = \frac{1}{125} \)
6. \( (1 \frac{1}{5})^2 = (\frac{6}{5})^2 = \frac{6^2}{5^2} = \frac{36}{25} = 1\frac{11}{25} \)

Ответ: 1) \(\frac{4}{9}\); 2) \(\frac{1}{16}\); 3) \(\frac{8}{125}\); 4) \(\frac{4}{25}\); 5) \(\frac{1}{125}\); 6) \(1\frac{11}{25}\).