Răspuns :

Răspuns:

4³⁸=(2²)³⁸=2²ˣ³⁸=2⁷⁶

8²⁵=(2³)²⁵=2³ˣ²⁵=2⁷⁵

4³⁸ > 8²⁵

Răspuns: [tex]\boxed{4^{38}~>~8^{25}}[/tex]

Explicație pas cu pas:

  • [tex]4^{38} = \big(2^{2}\big)^{38}=2^{2\cdot38}=\boxed{2^{76} }[/tex]
  • [tex]8^{25} = \big(2^{3}\big)^{25}=2^{3 \cdot 25}=\boxed{2^{75} }[/tex]

[tex]2^{76}~>~2^{75}~ \rightarrow ~ \red{\boxed{4^{38}~>~8^{25}}}[/tex]