Men and women are not interchangeable but are equal in dignity

Man and woman can't be switched — you can't have the man become the mother and the woman become the father. You can't say 'in our marriage she's the head and I yield to her leadership' — that would be unbiblical. But both male and female are given dominion over the earth in Genesis 1:26 and 28. Women have dominion too — they are not powerless or without authority, they have a different authority than their husbands.