I treated a purified RNA sample with DNase and also with RNase (separate). The DNase-treated prep looked identical to untreated (as expected), but the RNase-treated prep disappeared (expected) except for the generation of a new, large, intense band (unexpected).
The lanes are:
1) GeneRuler 1 kb Plus
2) Isolated RNA (original)
3) Overnight DNase digestion
4) Overnight RNase digestion
5 & 6) cDNA preparations
Note - this is not a denaturing gel, just 2% agarose.