The Collaborative International Dictionary of English v.0.48:

Unexercised \Unexercised\
   See exercised.

Moby Thesaurus II by Grady Ward, 1.0:

32 Moby Thesaurus words for "unexercised":
   extra, fresh, held back, held in reserve, held out, in abeyance,
   in hand, mint, new, original, pristine, put aside, put by, reserve,
   saved, spare, stored, suspended, to spare, unapplied, unbeaten,
   unconsumed, unemployed, unexpended, unhandled, unspent, untapped,
   untouched, untrodden, unused, unutilized, waived