This is the way I do it.
1. Use a tripod.
2. Use the longest lens. 200mm or 300mm is OK.
3. Switch to manual focus (on lens or camera, depending on brand / model)
4. Set to Manual exposure or M
5. Set ASA to 400
6. Focus to infinity and work your way slowly away from infinity. The Moon will be blurred at infinity, but sharply focused a tiny bit from that point, so play with the focus until sharp.
7. Set aperture to F8 or F11
8. Set shutter speed to 2000
9. Bracket exposures down... using shutter speeds. That is, 2000, 1500,1000, 750, 500, 350, 250, 180, etc.
10. Somewhere between those bracketed exposures will be a nicely exposed photo of the Moon.
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Let me know how you go with this technique!
Cheers!
(Please note that this guideline is for Full Moon conditions only. The exposure settings will vary and change extensively if it is NOT a Full Moon.)