Would earthquakes of similar magnitudes in different regions of the Earth cause approximately the same levels of damage?

No. The damage is mainly done to human-made structures and people. The damage is far greater in a densely populated area as in a sparsely populated area.

No, earthquakes of similar magnitudes in different regions of the Earth would not necessarily cause the same levels of damage. The damage caused by an earthquake depends on several factors beyond just its magnitude, including the distance from the epicenter to populated areas, the local soil conditions, the depth of the earthquake, the construction standards in the affected area, and the preparedness and infrastructure of the region.

To estimate the potential damage from an earthquake, scientists use various scales, such as the Modified Mercalli Intensity (MMI), which measures the effects of an earthquake on people, buildings, and the environment. The MMI scale ranges from I (not felt) to XII (total destruction). Even if two earthquakes have the same magnitude, their effects can vary significantly based on these factors.

So, to answer your question and understand the level of damage caused by earthquakes in different regions, it is essential to consider not only the magnitude but also the local conditions and factors mentioned above.