Final answer:
The military methods showcased in Akbar's illustrated history, particularly gunpowder technology, were key to the expansion of several empires like the Mughals and Ottomans, but not the Aztecs, who employed different military tactics. Option B is correct.
Step-by-step explanation:
The illustrated history prepared for the Mughal emperor Akbar demonstrates the military techniques that were instrumental in the territorial expansion of the Mughal Empire, which also included the use of gunpowder technology.
This technology was a defining factor for the 'gunpowder empires', which included the Ottomans and the Safavids, who were known for their centralized control and coordination of political, economic, and cultural resources to empower their armies. However, the methods of warfare involving gunpowder were not representative of the Aztec (Mexica) Empire's military strategies, as their warfare did not rely on such technology.
While the Ottoman Empire and the Mughal Empire both effectively utilized gunpowder technology for expansion, the Aztec Empire's military endeavors were distinguished by different tactics and weaponry, highlighting the diversity in warfare amongst empires of the time. The Aztec military focused more on traditional forms of combat, including the use of obsidian weapons and armor suitable for their particular combat style and geographical context.