The power attributed to a dragon sword can vary greatly depending on the specific mythology, story, or fantasy setting in which it is depicted. In many cases, the power of a dragon sword is tied to its association with dragons or the qualities imbued within it. Here are some common characteristics or powers associated with dragon swords in various contexts:

1. Dragon Slayer: Dragon swords are often depicted as particularly effective weapons against dragons. They may possess properties or enchantments specifically designed to harm or slay these mythical creatures.
2. Enhanced Cutting Ability: Dragon swords are sometimes portrayed as possessing exceptional cutting or slashing power. They may be able to cut through tough materials or even dragon scales with ease.
3. Elemental or Magical Properties: Dragon swords may be imbued with elemental powers or magical abilities associated with dragons, such as fire, ice, lightning, or poison. These attributes can enhance their destructive capabilities.
4. Symbolic or Legendary Status: Dragon swords are often portrayed as legendary artifacts, carrying a reputation and historical significance. They may be seen as a symbol of heroism, representing the triumph of good over evil or the vanquishing of great threats.

It's important to note that the specific powers or abilities of a dragon sword are largely determined by the narrative or creative interpretation of the particular story, mythology, or fictional setting in which it appears. The level of power and its significance can vary greatly between different works of literature, movies, video games, or other media forms.