Răspuns :

Răspuns:

16⁴²=(2⁴)⁴²=2⁴ˣ⁴²=2¹⁶⁸

8⁵³=(2³)⁵³=2³ˣ⁵³=2¹⁵⁹

comparam exponentii avand aceeasi baza

16⁴² > 8⁵³

Răspuns: [tex]\red{\boxed{\bf ~~16^{42}~~ \boxed{~>~}~~ 8^{53}~~}}[/tex]

Explicație pas cu pas:

[tex]\bf 16^{42} = (2^{4})^{42}=2^{4\cdot 42} = \boxed{\bf 2^{168} }[/tex]

[tex]\bf 8^{53} = (2^{3})^{53}=2^{3\cdot 53} = \boxed{\bf 2^{159} }[/tex]

[tex]\red{\boxed{\bf ~~2^{168}~~\boxed{~>~}~~ 2^{159}~~}}[/tex]

[tex]\red{\boxed{\bf ~~16^{42}~~ \boxed{~>~}~~ 8^{53}~~}}[/tex]