The phrase 'in different styles' is correct and can be used in written English. You can use it when you want to refer to different ways of doing something. For example: "The dancer moved gracefully across the stage in different styles."
So far I've learned how to dance in different styles.
The most recent album I released was called Pieces of Me – it's me, in different styles.
"People say my poetry is varied, in different styles, in different approaches," she said.
This is most noticeable in the 10 pavilions framing the Lawn, all designed in different styles.
"What I really like is that I get to play in different styles," Mr. Prieto said.
Mr. Wiltse said that he enjoyed writing in different styles within one play.
The Titans are defined by multitalented players who are effective in different styles.
The band's best work is a 54-minute collection of 22 songs in different styles.
Joy it is to see the same word clued in different styles.
As a painter Guercino worked in different styles during his long and successful career.
They are then invited to pick three bras in different styles.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com