The Rashtrakutas were a powerful dynasty that ruled over a large part of India from the 6th to the 10th century CE. They rose to power through a combination of military prowess, strategic alliances, and skilled administration. Let's delve into the details of how the Rashtrakutas became powerful:

1. Origins and early achievements:
- The Rashtrakuta dynasty was founded by Dantidurga in the mid-6th century CE.
- Dantidurga successfully defeated the Chalukyas, their main rivals, and established the Rashtrakuta kingdom.
- He expanded his territory by conquering neighboring regions and incorporating them into his kingdom.

2. Military conquests:
- The Rashtrakutas continued to expand their empire through military campaigns.
- Their armies were well-trained and had superior war tactics, which enabled them to conquer and annex several regions.
- They defeated the kingdoms of the Cholas, Cheras, and Pallavas in the south and expanded their influence in the Deccan region.

3. Strategic alliances:
- The Rashtrakutas formed alliances with other powerful dynasties to strengthen their position.
- They allied with the Western Ganga dynasty, the Gurjara-Pratiharas, and the Palas, which helped them gain considerable support and resources.
- These alliances also provided them with a strategic advantage against their rivals.

4. Patronage of arts and culture:
- The Rashtrakutas were great patrons of art, literature, and architecture.
- They supported scholars, poets, and artists, which brought them fame and prestige.
- Their patronage of the famous poet and playwright Kalidasa is particularly noteworthy.

5. Administrative efficiency:
- The Rashtrakutas established a well-organized administrative system.
- They appointed capable administrators who efficiently managed their vast empire.
- The empire was divided into provinces called rashtras, which were governed by officials known as rashtrapatis.

6. Economic prosperity:
- The Rashtrakutas promoted trade and commerce, which contributed to their economic growth.
- They built roads, encouraged agriculture, and developed a system of irrigation, leading to increased agricultural productivity.
- Their prosperous economy further strengthened their power and influence.

In conclusion, the Rashtrakutas became a powerful dynasty through their military conquests, strategic alliances, efficient administration, patronage of arts and culture, and economic prosperity. Their achievements and influence left a lasting impact on the history of India.