c, \(\dfrac{8}{5}\cdot\dfrac{6}{19}+\dfrac{13}{19}\cdot\dfrac{16}{10}+\dfrac{2}{5}=\dfrac{8}{5}\cdot\dfrac{6}{19}+\dfrac{13}{19}\cdot\dfrac{8}{5}+\dfrac{2}{5}\)
\(=\dfrac{8}{5}\cdot\left(\dfrac{6}{19}+\dfrac{13}{19}\right)+\dfrac{2}{5}=\dfrac{8}{5}\cdot1+\dfrac{2}{5}=\dfrac{8}{5}+\dfrac{2}{5}=\dfrac{10}{5}=2\)
d. \(\dfrac{2^3\cdot4\cdot2^4}{8\cdot2^5}=\dfrac{2^3\cdot2^2\cdot2^4}{2^3\cdot2^5}=\dfrac{2^{3+2+4}}{2^{3+5}}=\dfrac{2^9}{2^8}=2\)
\(\dfrac{8}{5}.\dfrac{6}{19}+\dfrac{13}{9}.\dfrac{16}{10}+\dfrac{2}{5}\\ =\dfrac{48}{95}+\dfrac{104}{45}+\dfrac{2}{5}\\ =\dfrac{550}{171}\\ d,\dfrac{2^3.4.2^4}{8.2^5}\\ =\dfrac{2^3.2^2.2^4}{2^3.2^5}\\ =\dfrac{2^9}{2^8}=2\)