How does radiometric dating provide evidence for evolution?

One major opposing viewpoint to the theory of evolution is
the age of the planet Earth. According to most religious theories, the Earth is
between four and ten thousand years old, created by an
intelligent designer who also created the plant and animal life, fully formed. For a
long time, there was no way to test the age of the Earth, as human records only go back
to a certain point, and there is no definitive record otherwise. However, the science of
radiometric dating created a scientific method of measuring
the age of non-organic materials. Radioactive materials have a defined half-life, the
amount of time it takes for that material to degrade by one-half; measuring the levels
of radioactivity in rocks can show the likely age of that rock, and the age of the
sedimentary layer that the rock is inside. Using this method, the age of the planet
Earth has been estimated at around 4.6 billion years old,
hypothetically more than enough time for single-cell organisms to evolve their
biological functions, join into more complex organisms, and eventually give rise to
larger animals. This age dating is supported by fossil records which are dated older
than 10,000 years.