Final answer:
The base that will react with bromine to form a strong small base is OH-, hydroxide ion, which is known to be a strong base and is the smallest among the provided options.
Step-by-step explanation:
Based on the information provided and the Brønsted-Lowry definition of bases, we are looking for a base that will react with bromine to form a strong small base. Among the given bases (OH−, OCH3−, and EtO−), we know that hydroxide ion (OH−) is a strong base that readily forms hydroxide ions in water. The methoxide ion (OCH3−) and ethoxide ion (EtO−) are also strong bases due to their willingness to accept protons. However, hydroxide ion (OH−) is the smallest of the three and thus would be considered a small base. Therefore, the correct answer is 1) OH− which would react to form a strong small base.