Cut and paste editing.
With most any camera that would be a challenging combination. The Moon only requires exposures of about 1/250th of a second while the Pleiades will require more just to get the brightest stars, not to speak of the smaller stars or the nebulousity within the cluster.
If you had a Web cam you might be able to get both the moon and the stars, (no nebula). What most experienced photographers will do is take multiple exposures to capture the cluster. The Moon will appear way over exposed. Then take a single shot or a couple shots of the moon at the correct exposure for that so not to overexpose it. The cluster will be under exposed in those. Then if you have the right software you can stack the frames of the cluster then extract the over exposed moon and insert the moon with the correct exposure.. This is a common practice with the planets in order to reveal their natural satellites orbeting them. It is also a common practice on objects such as the Great Orion Nebula where you have regions of varying illuminosities.
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