  We prove that a non-degenerate simple linear recurrence sequence $
(G_n(x))_{n=0}^{\infty} $ of polynomials satisfying some further conditions
cannot contain arbitrary large powers of polynomials if the order of the
sequence is at least two. In other words we will show that for $ m $ large
enough there is no polynomial $ h(x) $ of degree $ \geq 2 $ such that $
(h(x))^m $ is an element of $ (G_n(x))_{n=0}^{\infty} $. The bound for $ m $
depends here only on the sequence $ (G_n(x))_{n=0}^{\infty} $. In the binary
case we prove even more. We show that then there is a bound $ C $ on the index
$ n $ of the sequence $ (G_n(x))_{n=0}^{\infty} $ such that only elements with
index $ n \leq C $ can be a proper power.
