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Arătați ca numerele urmatoare sunt cuburi perfecte:a)5^15,b)7^21×11^12;

Răspuns :

a) 5^15= (5^5)^3
b) 7^21x11^12= (7^7)^3x(11^4)^3= (7^7x11^4)3

[tex]5^{15}=(5^5)^3 \rightarrow cub\ perfect \\ 7^{21} \times 11^{12} = (7^7)^3 \times (11^4)^3 = (7^7 \times 11^4)^3 \rightarrow cub\ perfect[/tex]