Question

2^48 comparat 3^32
imi trebuie urgent​

Answer 1

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

Explicație pas cu pas:

$\bf 2^{48} =2^{6\cdot 8} =(2^{6})^{8}= \boxed{\bf 64^{8} }$

$\bf 3^{32} =3^{4\cdot 8} =(3^{4})^{8}= \boxed{\bf 81^{8} }$

$\red{\boxed{\bf ~~64^{8}~~\boxed{~<~}~~ 81^{8}~~}}$

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