Skiing on hard surfaces is at times unavoidable. Unlike skiing on soft snow, on hardpack you’re often putting 80 or 90% of your weight on your outside ski. That doesn’t mean that you can’t get more performance from the inside ski. In fact the more you use your inside ski, the easier it will be to carve on any surface.
Start with a wide stance placing your feet under your hips. If you’re too narrow you can’t use that inside ski to your advantage. If you naturally ski in a narrow stance make a run with an imaginary beach ball between your legs. Practice some railroad track turns in this way and use your little toe to “slice” the snow.
