  The infrared exponentiation properties of dimensionally-regularized
multi-loop scattering amplitudes are typically hidden at the level of the
integrand, materializing only after integral evaluation. We address this
long-standing problem by introducing an appropriate integral basis which is
simultaneously finite and uniform weight. As an example, we cast the integrand
for the QCD corrections to the two-loop massless quark electromagnetic form
factor into a form where it is manifest that the $\epsilon^{-4}$ and
$\epsilon^{-3}$ pole terms arise from the $\epsilon$ expansion of the square of
our one-loop master integral.
