exceed, accede

Exceed or exceed means to go over or beyond a certain limit--
If you exceed the speed limit, you may get a ticket.
The value of the gift must not exceed twenty dollars.

Accede or accede means to agree or consent--
If their employer won't accede to their demands, they plan to strike.
The client refuses to accede to the provision concerning the interest rate.
Accede also means to assume an office or title, most commonly used to refer to an aristocrat or royalty--
He will accede to the throne when the old king dies.
If there is no male heir to accede to the dukedom, the title will become defunct.

Now that you know that, you can say--
"The principal won't accede to the students' request to put on a show that may exceed the limits of decency."