Geodesic
On the question of the algebraic independence of algebraic powers of algebraic numbers
Matematičeskie zametki, Tome 11 (1972) no. 6, pp. 635-644.

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We obtain results showing that transcendental numbers of the form $a^\beta$, where $a\ne0,1$, $\beta$ is irrational, and $a$ and $\beta$ are algebraic numbers, cannot be expressed algebraically in terms of two of the numbers. The proof is carried out by A. O. Gel'fond's method. 
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     author = {A. A. Shmelev},
     title = {On the question of the algebraic independence of algebraic powers of algebraic numbers},
     journal = {Matemati\v{c}eskie zametki},
     pages = {635--644},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a3/}
}
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A. A. Shmelev. On the question of the algebraic independence of algebraic powers of algebraic numbers. Matematičeskie zametki, Tome 11 (1972) no. 6, pp. 635-644. http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a3/