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calculati ultimul nr a nr 2015 la puterea 2019+2016 la puterea 2019

Răspuns :

2015 are ultima cifra 5 ⇒ [tex] 2015^{n} [/tex], n ∈ N* are ultima cifra 5
2016 are ultima cifra 6 ⇒ [tex] 2016^{n} [/tex], n ∈ N* are ultima cifra 6

[tex] 2015^{n} [/tex]=abd5
[tex] 2016^{m} [/tex]=def6
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[tex] 2015^{n} [/tex]+[tex] 2016^{m} [/tex]=xyz1  ⇒ ultima cifra=1