2^48 comparat 3^32
imi trebuie urgent​


Răspuns :

Răspuns: [tex]\purple{\boxed{\bf ~~2^{48}~~ \boxed{~<~}~~ 3^{32}~~}}[/tex]

Explicație pas cu pas:

[tex]\bf 2^{48} =2^{6\cdot 8} =(2^{6})^{8}= \boxed{\bf 64^{8} }[/tex]

[tex]\bf 3^{32} =3^{4\cdot 8} =(3^{4})^{8}= \boxed{\bf 81^{8} }[/tex]

[tex]\red{\boxed{\bf ~~64^{8}~~\boxed{~<~}~~ 81^{8}~~}}[/tex]

[tex]\red{\boxed{\bf ~~2^{48}~~ \boxed{~<~}~~ 3^{32}~~}}[/tex]