Find the correct conversion of units for $G=6.67\times {10}^{11}N{m}^{2}k{g}^{-2}=\mathrm{..........}c{m}^3{s}^{-2}{g}^{-1}$ .

$\begin{array}{l}G=6.67\times {10}^{11}N{m}^{2}k{g}^{-2}\\ =6.67\times {10}^{-11}\left({10}^{5}dyne\right){\left(100cm\right)}^2{\left(1000g\right)}^{-2}\\ =6.67\times {10}^{-11}\times {10}^5\times {10}^4\times {10}^{-6}dynec{m}^2{g}^{-2}\\ =6.67\times {10}^{-8}\left(gcm{s}^{-2}\right)c{m}^2{g}^{-2}\\ =6.67\times {10}^{-8}c{m}^3{s}^{-2}{g}^{-1}\end{array}$