Question

вычислите (4/25)^(-3/2)+0,25

Answer 1

Ответ:

${( \frac{4}{25}) }^{ - \frac{3}{2} } + 0.25 = {( \frac{25}{4}) }^{ \frac{ 3}{2} } + \frac{1}{4} = \\ = {( \sqrt{ \frac{25}{4} } )}^{3} + \frac{1}{4} = {( \frac{5}{2} )}^{3} + \frac{1}{4} = \\ = \frac{125}{8} + \frac{1}{4} = \\ = \frac{125 + 2}{8} = \frac{127}{8} = 15 \frac{7}{8}$