Usually the gyrosynchrotron emission of microwave bursts from electron
populations with a power-law (PL) energy distribution has been consid
ered under the assumption that the spectral index of the distribution
is constant over a wide range of energies. Meanwhile, there is strong
evidence, in particular from hard X-ray and gamma-ray, but also from c
m/mm wavelength radio observations, that in many solar flare events th
e spectrum of the emitting electrons is characterized by a significant
hardening at energies above 100-500 keV. We present some examples of
calculated microwave burst spectra at cm/mm wavelengths taking into ac
count the above evidence. It is shown that a break in the energy spect
rum of the PL electrons can indeed result in a spectral hardening some
times observed in microwave bursts at frequencies above 10-30 GHz.