Good grief! Men use power to get sex. Women use sex to get power.
History and sociology courses complete!
Down here at the level of the hoi polloi, the expression is "Women give sex to get security while men give security to get sex."
Donald Trump's rendition of your version caused him "a whole heap of trouble" during the campaign! Probably because it was accurate for many in the circles of wealth & power.
(BTW, did anyone ever learn which Asian knitting sweatshop got the contract for all those identical "P****" hats that showed up almost instantly? I find it hard to believe that that many 'modern, liberated women' knew how to knit their own hats. Or that Knitting Crafts-R-Us had that much pink variegated yarn in stock!)