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In 2009, Shur published the following conjecture: Let $L$ be a power-freelanguage and let $e(L)\subseteq L$ be the set of words of $L$ that can beextended to a bi-infinite word respecting the given power-freeness. If $u, v\in e(L)$ then $uwv \in e(L)$ for some word $w$. Let $L_{k,\alpha}$ denote an$\alpha$-power free language over an alphabet with $k$ letters, where $\alpha$is a positive rational number and $k$ is positive integer. We prove theconjecture for the languages $L_{k,\alpha}$, where $\alpha\geq 5$ and $k\geq3$.

Restivo Salemi property for $\alpha$-power free languages with $\alpha\geq 5$ and $k\geq 3$ letters