At T(K), the equilibrium constant for the reaction, $aA\left(g\right)\rightleftharpoons bB\left(g\right)$ is K_c. If the reaction takes place in the following form $2\mathrm{aA}\left(\mathrm{g}\right)\rightleftharpoons 2\mathrm{bB}\left(\mathrm{g}\right)$ its equilibrium constant is ${\mathrm{K}}_{\mathrm{c}}^{\mathrm{\prime }}$. The correct relationship between ${\mathrm{K}}_{\mathrm{c}}\text{ and }{\mathrm{K}}_{\mathrm{c}}^{\mathrm{\prime }}$ is