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Aratati ca 49 la puterea a 12 + 7 la puterea 25 este cub.
REPEDE!!!!


Răspuns :

49^12+7^25=7^24+7^25=7^24*(1+7)=7^24*8=7^24*2^3=(7^8)^3*2^3=(7^8*2)^3=cub
49¹²+7²⁵=(7²)¹²+7²⁵=7²⁴+7²⁵=7²⁴(1+7)=7²⁴*8=7²⁴*2³=(7⁸)³*2³⇒nr.este cub perfect.