We report high-sensitivity microwave measurements of the in-plane penetration depth lambda(ab) and quasiparticle scattering rate 1/tau in several single crystals of the hole-doped Fe-based superconductor Ba1-xKxFe2As2 (x approximate to 0.55). While a power-law temperature dependence of lambda(ab) with a power similar to 2 is found in crystals with large 1/tau, we observe an exponential temperature dependence of the superfluid density consistent with the existence of fully opened two gaps in the cleanest crystal we studied. The difference may be a consequence of different levels of disorder inherent in the crystals. We also find a linear relation between the low-temperature scattering rate and the density of quasiparticles, which shows a clear contrast to the case of d-wave cuprate superconductors with nodes in the gap. These results demonstrate intrinsically nodeless order parameters in the Fe arsenides.