Final answer:
The Ottoman and Safavid empires showcased their power through monumental architecture with grand domes and intricate designs in structures like the Blue Mosque and the Imperial Mosque, reflecting their dynastic wealth and cultural sophistication.
Step-by-step explanation:
The Ottoman and Safavid empires utilized monumental architecture to assert and showcase their power through various means. The Ottomans, particularly in the 16th century, mastered the construction of large inner spaces topped with massive domes, achieving a symbiosis between inner and outer spaces and the interplay of light and shadow. This can be exemplified by the architectural marvel of the Blue Mosque in Istanbul. Meanwhile, the Safavids, especially during Shah Abbas's reign, focused on grand building projects in Isfahan, including gardens, palaces like Ali Qapu, a massive bazaar, and the Imperial Mosque. These structures were often adorned with luxurious materials and intricate designs, with a prevalence of blue and gold, exemplifying the wealth and sophistication of the dynasties. Both empires showcased their might, culture, and the ability to mobilize resources, and left an indelible mark on their cities that stood as a testament to their grandeur.