Simply killing the male will not solve your problem. To treat the carpenter bee holes use Drione Dust and a Crusader Duster . As the female enters the hole she will drag the dust into the nest and kill all the larvae. Drione lasts for many months and is very safe. After 2 or 3 days plug the holes.
Natural cork does a good job as a hole plugger.
This makes it easy to see new activity and keeps the dust inside to kill the larvae. If you must kill the harmless male carpenter bee then use a Wasp and Hornet Aerosol . To prevent future drilling of new holes in the wood spraying the wood with a good residual insecticide like Ficam W or Sniper is recommended. Ficam W is also an excellent product for the control of ants, spiders, big roaches and scorpions, both inside and outside the home.