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comparați numerele
[tex] {2}^{90} [/tex]
Si
[tex] {3}^{54} [/tex]
Ma rog urgent​


Răspuns :

Răspuns:

[tex]90 = 2 \times {3}^{2} \times 5[/tex]

[tex]54 = 2 \times {3}^{3} [/tex]

[tex]cmmdc = 2 \times {3}^{2} = 18[/tex]

[tex] {2}^{90} = ( {2}^{5} )^{18} = {32}^{18} [/tex]

[tex] {3}^{54} = ( {3}^{3} )^{18} = {27}^{18} [/tex]

[tex] = > {2}^{90} > {3}^{54} [/tex]