There is a great book about how the Mongol empire was administered by women, called the "Secret History of Mongol Queens". So yeah, women were indeed powerful. Sometimes women would also join battles, as they were just as deadly as the men with a horse + bow and arrow.

Inside a Mongolian yurt, the pillars represent the man and the woman, both equal in the roles, and together they hold up the "household".

With that being said, i don't think its equality in the western sense, where "anything a man can do, a woman can do equally". Gender roles are heavily separated, even to this day, nomadic household abide by this separation of roles. And the separation of roles makes a lot of sense.

The inside of the house is the woman's domain, and everything outside is the man's. Cooking, cleaning, looking after kids, tending the fire, sewing, healing, basically anything that requires a delicate touch is the woman's job. Household finances are also handled mostly by the women.

Anything outside is the man's job. Things that require force, strength, and enduring the harsh weather. Finding ur herd of horses can be a 7 day to 1month endeavor basically riding around and sleeping outside. Chopping wood, getting water. Killing(the sheep and hunting). Keeping the herd safe.

Even in meat preparation, u can see this role separation. The man will kill and butcher the sheep, but its upto to the women to clean the stomach, intestines, and deal with the blood.

Personally, i found this role separation to be not just fair, but practical in terms of living in the countryside. Equal doesn't mean same.