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
![K](https://img.qammunity.org/2021/formulas/physics/high-school/u1weujns54zrje7dh3pnjrknmuqn8c5au6.png)
For the given chemical reaction:
![(CH_3)_2N(aq)+H_2O(l)\rightarrow (CH_3)2NH(aq)+OH^-(aq)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/8azbe96oywc1oizpgeilibli8x908eft2p.png)
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)