Higher order power corrections in inclusive B decays

We discuss order 1/m(b)(4) and 1/m(b)(5) corrections in inclusive semileptonic decay of a B meson. We identify relevant hadronic matrix elements of dimension seven and eight and estimate them using the ground-state saturation approximation. Within this approach the effects on the integrated rate and on kinematic moments are estimated. The overall relative shift in V-cb turns out about +0.4% as applied to the existing fits. Similar estimates are presented for B -> Xs + gamma decays.