I'm the late 1600s the change by the British government in enforcing colonial rules was called

In the late 1600s, the change by the British government in enforcing colonial rules was called "Salutary Neglect." This term refers to an unofficial policy adopted by British governments which allowed its American colonies to be left largely to their own devices as long as they remained loyal and continued contributing to the economic prosperity of Britain. Although not officially codified, the policy of Salutary Neglect meant that enforcement of parliamentary laws, particularly trade regulations, was lax.

Extra: Salutary Neglect arose in part because the distance between Britain and America made enforcement of laws difficult and expensive. Moreover, England was often involved in various European conflicts at the time, diverting attention from colonial management. During this period, the American colonies enjoyed a significant degree of autonomy, which allowed them to develop their governments and trade networks. This leniency is often credited with contributing to the rise of self-government in the colonies and the growth of ideas related to liberty and democratic governance. Eventually, this period set the stage for the colonies to seek independence from Britain when the crown tried to tighten control in the 18th century. The end of Salutary Neglect came with laws such as the Stamp Act and the Navigation Acts which triggered colonial dissatisfaction that ultimately led to the American Revolution.