Here's why:
* Centuries start with the year "1" and end with the year "00". So the 18th century encompasses the years 1701 to 1800.
* "1700-1800s" is technically correct but a bit awkward. It's more common to refer to it as a single century.
If you want to specifically mention the years 1700 to 1800, you could say:
* "The period from 1700 to 1800"
* "The late 1700s and early 1800s"
Remember to be consistent with your terminology throughout your writing.