  The one-loop corrections to K->pi and K->2pi matrix elements of the
electroweak penguin operator are calculated. General next-to-leading order
relations between the K->pi and K->2pi amplitudes are obtained. The fractional
shift Delta_2 = 0.27 +- 0.27 is found for the O(p^2) corrections to a recent
chiral determination of <(pi pi)_{I=2}|Q_{7,8}|K^0>. We explain why the sign
for Delta_2 is opposite to that expected from unitarization approaches based on
the Omnes equation. We perform a background-field, heat-kernel determination of
the divergent one-loop amplitudes for a general class of (V-A)x(V+A) operators.
