J.R. S. answered 04/05/21
Ph.D. University Professor with 10+ years Tutoring Experience
Assuming the acid HA is a strong acid and dissociates completely, the [H3O+] = 0.1 M since...
HA ===> H+ + A-
0.1 M.......0.1M...0.1M
[H3O+][OH-] = Kw = 1x10-14
[OH-] = 1x10-14 / 0.1
[OH-] = 1x10-13 M