Exercise does not burn fat.
Let's get that straight.
If your arms are thin, already, hi rep low weight exercises can create more muscle which can store more glycogen so your subcutaneous fat won't have to.
I'm presuming that you want what most women want.
To get rid of body fat, you must stop creating it by consuming too much fructose via sugar, HFCS, honey, nectar, juice, molasses, maple syrup and white flour products (most breads, crackers and pastas.)
"Fat Chance" by Dr. Robert Lustig M.D.