Because power is an ability to do what one wants, and a lot of people want sex.
I didn't like the book when I first read it (mostly because I seriously dislike Anna, and the book naturally spends a lot of time being told from her POV), but in retrospect, it's brilliant. Tolstoy has, without a single bit of moralizing, presented one of the best arguments I've seen in literature for being faithful to one's spouse and not engaging in affairs.
P.S. I should add that I don't think Tolstoy was inventing the "rich men having affairs was considered normal" aspect for the purpose of the book. I think that was what Russian society was really like at the time, and he took that aspect of society and wrote a book criticizing it, highlighting the negative effects that that attitude would have on people.
In South Africa, men marrying multiple wives is still accepted as long as they are "traditional". https://en.wikipedia.org/wiki/Polygamy_in_South_Africa.
Most Muslim-majority countries currently allow polygamy. https://worldpopulationreview.com/country-rankings/countries...
No lol
Now whether it was directly admitted to is a different thing, versus a nudge nudge wink wink thing....cue British aristocracy.
We might all have our personal views on whether it's right or wrong. Or whether it's sinful, etc. But that's orthogonal to reality.
I mean... seriously, look at literature, look at music... Heck, read the Bible? It's been a feature of all of recorded human history, that people will stray. We are human as they say...