1178. Вычислите: а) \((-4)^{-3}\); б) \(2,5^{-1}\); в) \(\left(-\frac{3}{4}\right)^{-2}\); г) \(\left(1\frac{1}{3}\right)^{-3}\); д) \(-0,4^{-4}\); е) \(-\left(2\frac{1}{2}\right)^{-2}\).

1. \((-4)^{-3}=\frac{1}{(-4)^3}=-\frac{1}{64}\).
2. \(2,5^{-1}=\frac{1}{2,5}=\frac{2}{5}\).
3. \(\left(-\frac{3}{4}\right)^{-2}=\left(-\frac{4}{3}\right)^2=\frac{16}{9}\).
4. \(\left(1\frac{1}{3}\right)^{-3}=\left(\frac{4}{3}\right)^{-3}=\left(\frac{3}{4}\right)^3=\frac{27}{64}\).
5. \(-0,4^{-4}=-\frac{1}{0,4^4}=-\frac{1}{0,0256}=-625\).
6. \(-\left(2\frac{1}{2}\right)^{-2}=-\left(\frac{5}{2}\right)^{-2}=-\left(\frac{2}{5}\right)^2=-\frac{4}{25}\).

Ответ: а) \(-\frac{1}{64}\); б) \(\frac{2}{5}\); в) \(\frac{16}{9}\); г) \(\frac{27}{64}\); д) \(-625\); е) \(-\frac{4}{25}\).