Question

2^48 comparat 3^32
imi trebuie neaparat​

Answer 1

Explicație pas cu pas:

2⁴⁸ [] 3³² ⇨ transformăm cele două puteri în puteri cu același exponent;

(2⁶)⁸ [] (3⁴)⁸

64⁸ [] 81⁸ => 64⁸ < 81⁸ => 2⁴⁸ < 3³²

Answer 2

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

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

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

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

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