1178. Вычислите: a) (-4)⁻³; 6) 2,5⁻¹; г) 1³/₄⁻²; д) -0,4; e) -2¹/²⁻²

Решение:

\(a\) \((-4)^{-3} = \frac{1}{(-4)^3} = \frac{1}{-64} = -\frac{1}{64}\)

\(б\) \(2,5^{-1} = \frac{1}{2,5} = \frac{1}{5/2} = \frac{2}{5} = 0,4\)

\(\text{г}) \(\left(1\frac{3}{4}\right)^{-2} = \left(\frac{7}{4}\right)^{-2} = \left(\frac{4}{7}\right)^2 = \frac{16}{49}\)

\(д\) \(-0,4 = -\frac{4}{10} = -\frac{2}{5}\)

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

Ответ: а) -1/₆₄; б) 2/₅; г) 16/₄₉; д) -2/₅; е) 4/₂₅.