Đáp án:
$$a)8\\ b) -\dfrac{49}{40}\\ c) \dfrac{-67}{9}\\ d)\dfrac{40}{43}.$$
Giải thích các bước giải:
$$a) (-1,25)\sqrt{\dfrac{1}{25}}.(-4)^3.\dfrac{2}{\sqrt{16}}\\ = -\dfrac{5}{4}.\dfrac{1}{5}.(-4)^3.\dfrac{2}{4}\\ =4.2\\ =8\\ b) \left(0,4+\dfrac{3}{5}\right).\dfrac{5}{8}-\dfrac{3}{4}+\dfrac{1}{2} \left(\dfrac{4}{5}-3\right)\\ =\left(\dfrac{2}{5}+\dfrac{3}{5}\right).\dfrac{5}{8}-\dfrac{3}{4}+\dfrac{1}{2} \left(\dfrac{4}{5}-\dfrac{15}{5}\right)\\ =1.\dfrac{5}{8}-\dfrac{3}{4}+\dfrac{1}{2}.\dfrac{-11}{5}\\ =\dfrac{5}{8}-\dfrac{6}{8}+\dfrac{-11}{10}\\ =\dfrac{-1}{8}-\dfrac{11}{10}\\ =\dfrac{-5}{40}-\dfrac{44}{40}\\ =-\dfrac{49}{40}\\ c) \dfrac{8}{9}:\left(\dfrac{1}{11}-\dfrac{5}{22}\right)+\dfrac{5}{9}:\left(\dfrac{1}{15}-\dfrac{2}{3}\right)\\ =\dfrac{8}{9}:\left(\dfrac{2}{22}-\dfrac{5}{22}\right)+\dfrac{5}{9}:\left(\dfrac{1}{15}-\dfrac{10}{15}\right)\\ =\dfrac{8}{9}:\dfrac{-3}{22}+\dfrac{5}{9}:\dfrac{-9}{15}\\ =\dfrac{8}{9}.\dfrac{22}{-3}+\dfrac{5}{9}.\dfrac{5}{-3}\\ =\dfrac{-176}{27}-\dfrac{25}{27}\\ =\dfrac{-201}{27}\\ =\dfrac{-67}{9}\\ d) \dfrac{2^5.5^3+10^3}{3.2^4.5^3-5^4}\\ =\dfrac{2^5.5^3+(2.5)^3}{5^3(3.2^4.-5)}\\ =\dfrac{2^5.5^3+2^3.5^3}{5^3(3.16-5)}\\ =\dfrac{5^3(2^5+2^3)}{5^3(48-5)}\\ =\dfrac{5^3.40}{5^3.43)}\\ =\dfrac{40}{43}.$$
