You have less power but more wealth than a Mycenean king. You have a more steady diet that is healthier for you, with better healthcare, better housing, more time for leisure, less chance of being robbed or murdered or killed in battle, etc. etc. But the king could have people killed or tortured; he could send people to their deaths; pass judgment in any moral dispute between hundreds of his subjects; etc.
The capitalist elite gladly loses wealth to gain power. And the power a rich person has over someone who must work for them to eat is incomprehensibly greater than the power a rich person has over someone who can eat regardless of whether they work for them. Thanks to ICE and other anti-immigration laws, rich people can effectively keep undocumented migrants as slaves again. What are they going to do? Complain and get themselves sent to a concentration camp?
What do you think a billionaire would rather have? A hundred mansions, ten private jets, twenty yachts, and a thousand unionized employees; or ten mansions, one private jet, two yachts, and a hundred slaves?
Wealth truly is not equivalent to power.