<u>Answer:</u> The chemical equation is written below.
<u>Explanation:</u>
Precipitation reaction is defined as the reaction in which an insoluble salt is formed when two solutions are mixed containing soluble substances. The insoluble salt settles down at the bottom of the reaction mixture.
The chemical equation for the reaction of potassium hydroxide and nickel (II) bromide follows:

By Stoichiometry of the reaction:
2 moles of aqueous solution of potassium bromide reacts with 1 mole of nickel (II) bromide to produce 1 mole of solid nickel (II) hydroxide and 2 moles of potassium bromide
Hence, the chemical equation is written above.