Motivated by recent ion experiments on tunable long-range interacting quantum systems [B.Neyenhuis et al., Sci.Adv.\textbf{3}, 1 (2017, https://doi.org/10.1126/sciadv.1700672 )], we test the strong eigenstate thermalization hypothesis (ETH) for systems with power-law interactions \sim 1/r^{\alpha}. We numerically demonstrate that the strong ETH typically holds at least for systems with \alpha\geq 0.6,... Show more