p: \(\left(-\dfrac{2}{5}\right)^2+\dfrac{17}{-18}\cdot\dfrac{36}{34}-\left(-\dfrac{2}{3}\right)^3\)
\(=\dfrac{4}{25}-\dfrac{17}{34}\cdot\dfrac{36}{18}-\dfrac{-8}{27}\)
\(=\dfrac{4}{25}+\dfrac{8}{27}-1=\dfrac{-367}{675}\)
q: \(\left(-\dfrac{1}{2}\right)^0-\dfrac{-1}{3}\cdot\dfrac{-9}{12}+\dfrac{2^4}{-4}\)
\(=1-\dfrac{1}{3}\cdot\dfrac{3}{4}+\dfrac{16}{-4}\)
\(=1-\dfrac{1}{4}-4=-3-\dfrac{1}{4}=-\dfrac{13}{4}\)
r: \(\left(-5\right)\cdot\dfrac{17}{45}-\left(-\dfrac{2}{3}\right)^2+\left(-\dfrac{20}{2023}\right)^0\)
\(=-\dfrac{17}{9}-\dfrac{4}{9}+1\)
\(=-\dfrac{21}{9}+1=-\dfrac{12}{9}=-\dfrac{4}{3}\)