Question

16^42comparat 8^53
imi trebuie urgent​

Answer 1

Răspuns:

16⁴²=(2⁴)⁴²=2⁴ˣ⁴²=2¹⁶⁸

8⁵³=(2³)⁵³=2³ˣ⁵³=2¹⁵⁹

comparam exponentii avand aceeasi baza

16⁴² > 8⁵³

Answer 2

Răspuns: $\red{\boxed{\bf ~~16^{42}~~ \boxed{~>~}~~ 8^{53}~~}}$

Explicație pas cu pas:

$\bf 16^{42} = (2^{4})^{42}=2^{4\cdot 42} = \boxed{\bf 2^{168} }$

$\bf 8^{53} = (2^{3})^{53}=2^{3\cdot 53} = \boxed{\bf 2^{159} }$

$\red{\boxed{\bf ~~2^{168}~~\boxed{~>~}~~ 2^{159}~~}}$

$\red{\boxed{\bf ~~16^{42}~~ \boxed{~>~}~~ 8^{53}~~}}$