Julia S. answered 03/25/19
Show-Everyone-You-Are-Amazing Specialist
An apostrophe is used to show a contraction, so if you are writing:
1990s-- you are not contracting any concepts together. Instead, you are naming a set of years you are discussing.
90's-- This is a contraction because you have dropped the 1900s part of the years. The reader then knows that you mean 1990s. However, a reader can tripped up if you instead mean 1890s, so context is important as it would be with any contraction.