About two weeks after submitting a request that would, if approved, hike the average residential customer’s monthly bill $18.41, Appalachian Power wants to give a bit of break on what it charges to clear vegetation along rights-of-way. The power company said that it, along with Wheeler Power, has asked the state Public Service Commission to lower its vegetation management program rate 19% or $16.3 million. Currently, the monthly bill for a residential customer using 1,000 kilowatt hours is $155.66. If approved as filed, the adjustment would lower that amount by 1.36 % or $2.11 beginning Sept. 1. The request follows an announcement by the power company that it was seeking a $297 million rate adjustment from the PSC due to a rise in energy and fuel costs.