Final answer:
The establishment of strong monarchies and the expansion of global trade were the two practices that increased the power of European states during the early modern period.
Step-by-step explanation:
During the early modern period, the two practices that worked together to increase the power of European states were the establishment of strong monarchies and the expansion of trade through exploration and colonization. Monarchies in Europe sought to consolidate their control over territories and subjects, often becoming more centralized and absolute. This increase in monarchical power was accompanied by the advent of new trade routes and the establishment of trading companies, which extended European influence globally and increased wealth through the exploitation of overseas resources.