To be honest, I couldn't easily guess which is which when viewed at the default 600-pixel-wide size above. Both handle the dynamic range of the clouds pretty poorly, with the lower image being a little less bad. Looking more closely, the top image has significantly more detail in the trees — but still isn't astounding. (Both are subject to very high JPEG compression, probably due to the image upload service here, so a lot is lost there in any case.) The first image also has a lower black point, making it "pop" more — this is easily adjusted in the second image in any decent editing program with an "s curve", making it more like this:
I don't mean to be negative, but, I don't think this really helps much. The cliff face looks more dramatic, but the sky is still blown out beyond repair. This is a really hard situation for any camera — the bright sky and cloud-shadowed valley don't match. And those trees on the ridgeline to the left — ouch. So, as with most landscape photography, the number one thing you could do with either camera is to learn the light of the area, and the weather, and come back when it's right.
Probably the easiest thing you could have done here is to reduce the dynamic range by making a detail shot excluding the sky. You could also bracket your shots — make one exposed for the sky, one exposed for the sunlight trees, and one exposed for the shadows — and blend them for a final "HDR" image. (Most ideally, you'd use a tripod, so the images are well-aligned.)
Manual mode might have helped, but it's reasonable to assume that the scene mode picked pretty good settings here. Specifically, within the limits of the scene (again, basically impossible), the exposure looks correct, and the appropriate scene mode (on a P&S or on an entry-level DSLR) is going to pick a reasonable high aperture for depth of field, which is basically what you'd do manually too.
And you could milk more dynamic range from a single image with RAW, but fundamentally in-camera JPEG can be just fine — RAW is neither necessary nor a magic bullet. It just gives you more flexibility, and that can't always fix a photo that has a lot of technical problems to begin with.