Do you capitalize the word dynasty with proper ming?

Yes, you would capitalize "Ming" when referring to the Ming dynasty:

The Ming Dynasty

This is because "Ming" is a proper noun, specifically referring to a specific historical dynasty.

Here are some examples:

* "The Ming Dynasty was a period of great cultural and economic growth in China."

* "The Forbidden City was built during the Ming Dynasty."

* "The Ming Dynasty was overthrown by the Qing Dynasty."