>Why must it be attractive for a female to be powerful in order for her to succeed?

There is an undeniable biological tendency to want to attract a partner. Hence, any human's behavior will tend (in varying amounts) toward striving to be attractive to a partner. This foments a tendency for men to seek "Success, wealth and power" while fomenting a tendency for women to seek "beauty and femininity" (to use the article's wording).