Wiktionary
vb. (context idiomatic English) To be the leader, to be in charge
Wikipedia
"Run the Show" is a song by Dominican American recording artist Kat DeLuna's debut studio album 9 Lives. It was released as the second worldwide single off her debut album. While the album version features vocals from Shaka Dee, the single version features a new rap from Busta Rhymes. It was officially sent to big radio stations on January 15, 2009. The Spanglish version features reggaeton artist Don Omar.
Usage examples of "run the show".
The code words disguise a basic question: Who is going to run the show?
She has a soap opera talk show mentality thinking sex and wives run the show when all the time it's money.
You be in charge, you satisfy your ego and your desire to run the show.
I don't care if she remains technically in command, but I want Gunny Pappas to run the show.
If Chernock had been smart enough to realize he needed a professional to ride herd on his SS thug starship crews, then one had to assume he'd also been smart enough to let that professional run the show once they arrived in Cerberus.
All he'll see is me sitting back in my chair, and letting you run the show.
But if the people who run the show are so clever and so powerful, why don't they find something to suit their public?
He could have run the show as a local Miami show, which would have blown the idea for the network.