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Summary:
The article presents analogical expressions for the same powers in the numeral systems of different bases. The factorization formula for $z^{z+1}-1$ and $z^{z+1}+1$ is also derived.
References:
[1] Mikulčák, J.: Přehled učiva matematiky základní školy. SPN, Praha, 1993.
[2] Odvárko, O.: Matematika pro gymnázia. Posloupnosti a řady. Prometheus, Praha, 1995.
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