During a star's death (when it has burned out its fuel), the star might collapse into an extremely dense object made mostly of neutrons (a neutron star). Neutron stars are the fastest spinning objects in the cosmos, typically spinning hundreds of times per second. Suppose that the moment of inertia of a collapsed spinning neutron star is 2×10⁹ times smaller than its initial value. During its collapse, no external torques act on the star. What is the ratio of the star's new rotational kinetic energy to its initial rotational kinetic energy?