Question

2^48 comparat la 3^32​

Answer 1

Răspuns: $\green{\boxed{\bf ~~2^{48}~~ \boxed{~<~}~~ 3^{32}~~}}$

Explicație pas cu pas:

$\bf 2^{48} =2^{3\cdot 16} =(2^{3})^{16}= \boxed{\bf 8^{16} }$

$\bf 3^{32} =3^{2\cdot 16} =(3^{2})^{16}= \boxed{\bf 9^{16} }$

$\red{\boxed{\bf ~~8^{16}~~\boxed{~<~}~~ 9^{6}~~}}$

$\red{\boxed{\bf ~~2^{48}~~ \boxed{~<~}~~ 3^{32}~~}}$