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comparați 2 la puterea 41 cu 3 la puterea 24​

Răspuns :

Coroana???

[tex] {2}^{41} = 2 \times {2}^{40} = 2 \times ( { {2}^{5} )}^{8} = 2 \times {32}^{8} [/tex]

[tex] {3}^{24} = ( { {3}^{3} )}^{8} = {27}^{8} [/tex]

[tex]2 \times {32}^{8} > {27}^{8} [/tex]

[tex] {2}^{41} > {3}^{24} [/tex]