Is this related to sexism or just economics and racism (in policing)? It seems like the main reason why mothers are opting to stay at home is because child care is too expensive compared to how much they could earn if they worked. That's an economic problem, not sexism.
Also, 90% of the single parent households being run by mothers in Washington, D.C. is a well-known symptom of racism in policing, arresting black men, throwing the book at them, and basically ruining their lives over crimes where whites are regularly given a slap on the wrist.
My layman's analysis is that the overwhelming lobbying power of big business childcare providers has resulted in regulatory capture within that industry. Making it exceptionally expensive and legally risky for small businesses to perform that function. Furthermore, the exceptionally low minimum wage and exploitation of workers in that industry has lead to worker shortages and increased costs, where almost all the money being paid into a childcare facility is being funneled to the top of the org chart instead of being used to reduce costs.
The mere fact that publicly-traded childcare providers exist is a strong indicator of the problem. Consolidation in that industry should never have been allowed and they all need to be broken up because it's the only way costs will come down.
Just another example of the wealth gap resulting in practical, real world problems that hurt society.