$a){\left(-2\frac{1}{3}\right)}^{-2}\cdot {\left(-\frac{3}{7}\right)}^{-2}:{\left(-8\right)}^{-2}=$ ${\left[-\frac{7}{3}\cdot \left(\frac{3}{7}\right)\cdot \left(-\frac{1}{8}\right)\right]}^{-2}={\left(-\frac{1}{8}\right)}^{-2}=64$

$b){\left(7,2\right)}^{-3}\cdot {\left(-\frac{5}{18}\right)}^{-3}:{\left(-0,8\right)}^{-3}=$   ${\left[\frac{36}{5}\cdot \left(-\frac{5}{18}\right)\cdot \left(-\frac{5}{4}\right)\right]}^{-3}={\left(\frac{5}{2}\right)}^{-3}=\frac{8}{125}$  

$c)\frac{2^{-2}\cdot 5^{-2}}{{\left(0,1\right)}^{-2}\cdot {1000}^{-2}}=$   $\frac{{\left(2\cdot 5\right)}^{-2}}{{\left(0,1\cdot 1000\right)}^{-2}}=\frac{{10}^{-2}}{{100}^{-2}}=100$  

$d)\frac{{\left(-\frac{1}{14}\right)}^{-5}:{\left(\frac{1}{7}\right)}^{-5}\cdot {\left(0,5\right)}^{-5}}{2^{-5}:8^{-5}}=$ $\frac{{\left(-\frac{1}{14}\cdot 7\cdot \frac{1}{2}\right)}^{-5}}{{\left(2:8\right)}^{-5}}=$ $\frac{{\left(-\frac{1}{4}\right)}^{-5}}{{\left(\frac{1}{4}\right)}^{-5}}={\left(-\frac{1}{4}:\frac{1}{4}\right)}^{-5}=-1$