While there are several different types of Young Earth Creationists (e.g., AiG, CMI, Discovery) many of them have attacked methods for dating the earth and cosmos at ages longer than several thousand years. Typically they demonize carbon-14 and other radioisotopic dating methods.
Using astronomy as a setting, what energy source are most of the unmanned space probes that zoom across the inner solar system powered by?
Do they use solar energy? Do they use big Energizer bunnies? Do they use dope?
Many of them, including the Voyagers and Pioneers use a technique called radioisotopic decay to power electric generators: Radioisotopic Thermoelectric Generators
In a nutshell, the heat produced from these decaying isotopes (typically Plutonium 238) is converted into electricity and stored in batteries. There are no smoke, mirrors or boogiemen involved in this process.
And as seen with these probes, the rate of decay matches up to the predicted limits and as a result some of the probes will become completely silent in the next decade.
Numbers and nincompoops
Pu-238 has a half-life of 87.7 years, a phenomenon that has been observed and tested numerous times.
Using similar testable, observable methods Carbon-14 has a half-life of 5730 years and is commonly used to date objects younger than 40,000 years.
Potassium-Argon dating has an extremely long half-life and is usually used to date minerals older than 100,000 years.
And the best part about all of these elements, if you do not believe or simply disagree with the ages found by the researchers, you can conduct your own tests.
The same thing cannot be said about supernatural phenomenon, which, by definition, are not natural and therefore not testable.
Note: again, the reason why the field of astronomy can be a powerful ally in dealing with creationists is that it cannot be blocked. Anyone can access it each evening with just a few rudimentary tools. And it happens that in this case, you can launch those tools into space and receive measurements through an odd means: by not receiving signals due to a lack of radiative mass.
See also:
How long did it take for the rings to form around Saturn?
Long distance phone calls in outer space
Admitting You Are Wrong On Easter