Answer:
What allowed empires and people to settle across the atlantic and pacific oceans was technological advancements in shipbuilding and navigation.
Step-by-step explanation:
Better and faster ships were built in Europe in the from the fourteenth century onwards. This technology allowed European nations and people to settle in the Americas, and to establish colonies in Asia (very few europeans settled in Asia).
The first nations to do so were Spain, and Portugal, followed a century later by Great Britain, France, and the Netherlands. Sweden, Denmark, Germany, and Italy had some colonial activity, but it was more limited in scope.