On the distribution of square-full and cube-full integers

LetN_r(x) be the number ofr-full integers x and let _r(x) be the error term in the asymptotic formula forN_r(x). Under Riemann's hypothesis, we prove the estimates ₂(x)x^1/7+, ₃(x)x^97/804+(>0), which improve those of Cao and Nowak. We also investigate the distribution ofr-full andl-free numbers in short intervals (r=2,3). Our results sharpen Krätzel's estimates.