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stabiliti care numar este mai mare 5 laputerea33 sau 4×25 la puterea16

Răspuns :

Rezolvare :
[tex]4 \times 25 {}^{16} = {4}^{4} \times 25 {}^{4} = 100 {}^{4} [/tex]
[tex]100 {}^{4} = (5 {}^{20} ) {}^{4} = 5 {}^{80} [/tex]
[tex]5 {}^{33} = (5 {}^{1} ) {}^{33} = 5 {}^{33} [/tex]
[tex] \ {5}^{80} > 5 {}^{33} \: . \: 80 > 33 \: [/tex]
[tex]100 {}^{4} > 5 {}^{33} [/tex]