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]