A rather normal question

Calculus Level 4

Let $P$ be a point (other than the origin) on the curve $y = x^{4}$ . Let $Q$ be the point where the normal line to the given curve at $P$ intersects the $x$ -axis.

With point $O$ being the origin, form the triangle $OPQ$ . Over all such triangles, what is the minimum value of the ratio of the base length $OQ$ to the height of $\Delta OPQ$ ?