الرِّجَالُ قَوَّامُونَ عَلَى النِّسَاء بِمَا فَضَّلَ اللّهُ بَعْضَهُمْ عَلَى بَعْضٍ وَبِمَا أَنفَقُواْ مِنْ أَمْوَالِهِمْ فَالصَّالِحَاتُ قَانِتَاتٌ حَافِظَاتٌ لِّلْغَيْبِ بِمَا حَفِظَ اللّهُ وَاللاَّتِي تَخَافُونَ نُشُوزَهُنَّ فَعِظُوهُنَّ وَاهْجُرُوهُنَّ فِي الْمَضَاجِعِ وَاضْرِبُوهُنَّ فَإِنْ أَطَعْنَكُمْ فَلاَ تَبْغُواْ عَلَيْهِنَّ سَبِيلاً إِنَّ اللّهَ كَانَ عَلِيًّا كَبِيرًا(34)

(Interpretation ot the meaning ??) 

(4_34)
34. Men are the protectors and maintainers of women, because Allah has given the one more (strength) than the other, and because they support them from their means. Therefore the righteous women are devoutly obedient, and guard in (the husband's) absence what Allah would have them guard. As to those women on whose part ye fear disloyalty and ill-conduct, admonish them (first), (Next), refuse to share their beds, (And last) beat them (lightly); but if they return to obedience, seek not against them Means (of annoyance): For Allah is Most High, great (above you all).

Background on verse 4:34

The women of Mecca were traditionally subservient to their husbands, for Mecca had a harsh and cruel culture, whereas the women of Medina were more used to standing up to their husbands, as it was a more cosmopolitan environment. After the Meccan immigrants were settled in their new homes in Medina, some men began to notice that their wives were starting to challenge them and talk back to them - even in contempt. 'Omer ibn al-Khattab went to the Prophet and complained about this on behalf of himself and his male friends. The Prophet licensed to them to beat their wives. 

However, the next morning some women complained to the Prophet's wives that their husbands had physically abused them. The Prophet became upset when he heard about the complaints, and he declared that any man who beats his wife "is not the best of you". In other words, the men had misinterpreted or misapplied what the Prophet meant by what he said. (Abu Dawud, Nisa'i, also see Al Baqara 2:231)

, [27.10.20 11:06]
2. Ibn `Abbas (may Allah be pleased with him) narrated that the Prophet (peace and blessings be upon him) said:

“The best among you is the best towards his wife, and I am the best of you to my wives.” (Ibn Majah and authenticated by Al-Albani)

Prophet Muhammed peace be upon him says :
the best among you is who treats his wife good but if Allah says beat them he doesn't mean good women he means reluctant and arrogant ones .It came in the jurisprudence encyclopedia how to beat them,  surprisingly it is with a (miswak)
a very tiny tool with which Muslims clean their teeth. It is a merciful way of beating and if you remain beating somebody with it for three or four hours he would think you are only kidding with him.

That's the mercy of Islam with arrogant women .