The factorised form of the parabola's equation is

This should enable you to find the roots and vertex in terms of $p$ and $q$.

You should definitely draw a diagram!

Here is the diagram

Since the triangle is equilateral, you know that all sides of the triangle are equal.

Therefore, the distance between the roots is equal to the distance from the origin to the vertex.

To make use of this information, you will need Pythagoras.

We have

so the roots are $x=0$ and $x=2q$. This means the vertex occurs when $x=q$, so

Since $p>0$ the parabola is convex.

With this information, we can draw an accurate diagram:

Since the triangle is equilateral, the sides of the triangle have the same length, let's call it $\ell$.

Clearly, the base of the triangle has length $2q$, so $\ell =2q$ and ${\ell }^2=4q^2$.

On the other hand, consider the other two sides. We use Pythagoras', noting that the dashed line has length $p{q}^2$, to find that

By equating these two expressions for ${\ell }^2$, we find that

So $(pq{)}^{12}=3^6=729$.