Final answer:
Pre-1450 CE societies in the Americas, such as the Maya and the Inca, share the similarity of establishing powerful central governments with strict social hierarchies, evident through their societal organization and infrastructure.
Step-by-step explanation:
The similarity in the methods of empire building utilized by two pre-1450 CE societies in the Americas or Oceania is that B. Both societies established powerful central governments with strict hierarchies. This is evident in the accounts of the Mayan Empire and the Inca Empire. For instance, the Maya had a highly organized society with an aristocracy, a priestly class, and a revered king, implying a strict social hierarchy. Similarly, the Inca, with a system that provided for the needs of its people under a central government, also showed signs of a structured hierarchical government. These societies built massive structures and road networks, reflecting the strong central organization, rather than relying on maritime exploration, diplomatic alliances, or advanced technology such as gunpowder, which were not characteristic methods of their empire building.