  Using the SPITZER SPACE TELESCOPE and the VLA, we present the first DIRECT
evidence that the well-known far-infrared/radio correlation is valid to
cosmologically significant redshift. We also confirm, with improved statistics
compared with previous surveys, a similar result for the Mid-IR/radio
correlation. We explore the dependence of monochromatic q_{24} and q_{70} on z.
The results were obtained by matching Spitzer sources at 24 and 70 microns with
VLA 1.4 GHz micro-Jy radio sources obtained for the SPITZER FLS. Spectroscopic
redshifts have been obtained for over 500 matched IR/radio sources using
observations at WIYN, Keck and archival SDSS data extending out to z > 2. We
find that q_{24} shows significantly more dispersion than q_{70}. By comparing
the observed fluxes at 70, 24 and 4.5 microns with a library of SED templates,
we find that the larger dispersion in q_{24} is predictable in terms of
systematic variations in SED shape throughout the population. Although the
models are not able to encompass the full range of observed behavior (both the
presence of either extremely flat or extremely steep IR SEDs), the fitting
parameters were used to `k-correct' the higher-z galaxies which resulted in a
reduced scatter in q. For comparison, we also corrected these data using the
SED for M82. The results for 24 and 70 microns provide strong consistent
evidence for the universality of the mid-IR/radio and far-IR/radio correlations
out to redshifts of at least z = 1.
