Answer:
![K=([OH^-]* [(CH_3)2NH])/([(CH_3)_2N])](https://img.qammunity.org/2021/formulas/chemistry/middle-school/vobsnfton1353llhgtib1b17oad0i0sc2u.png)
Step-by-step explanation:
Equilibrium constant is defined as the ratio of concentration of products to the concentration of reactants each raised to the power their stoichiometric ratios. It is expressed as

For the given chemical reaction:

The concentration of pure solids and pure liquids is taken as 1.
Thus
![K=([OH^-]* [(CH_3)2NH])/([(CH_3)_2N])](https://img.qammunity.org/2021/formulas/chemistry/middle-school/vobsnfton1353llhgtib1b17oad0i0sc2u.png)