J.R. S. answered 07/28/21
Ph.D. University Professor with 10+ years Tutoring Experience
[H3O+][OH-] = Kw = 1x10-14 (memorize this)
(2x10-3)(OH-) = 1x10-14
[OH-] = 1x10-14 / 2x10-3
[OH-] = 5x10-12
So, your answer of 4x10-6 would be incorrect. Do you see why?