amandoua daca se poate,daca nu faceti ori 3 ori 4
![Amandoua Daca Se Poatedaca Nu Faceti Ori 3 Ori 4 class=](https://ro-static.z-dn.net/files/d72/38a7e19c153692a703a6ddf9eeae3569.jpg)
Răspuns:
Explicație pas cu pas:
3)
4³²= (2²)³²=2⁶⁴
8²⁴=(2³)²⁴=2⁷²
16²⁵= (2⁴)²⁵= 2¹⁰⁰
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2³² , 2⁷² , 2¹⁰⁰
4³²<8²⁴< 16²⁵
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4)
5⁷²= (5³)²⁴=125²⁴
3⁹⁶=(3⁴)²⁴= 81²⁴
125²⁴>81²⁴
5⁷²>3⁹⁶
[tex]\bf 3.\\ \\ \left.\begin{aligned}\it 4^{32}=(2^2)^{32}=2^{64}\\ \\ 8^{24}=(2^3)^{24}=2^{72}\\ \\ 16^{25}=(2^4)^{25}=2^{100} \end{aligned} \right\} \Rightarrow 4^{32}<8^{24}<16^{25}[/tex]
[tex]\bf 4.\\ \\ \it 5^{72}=5^{3\cdot24}=(5^3)^{24}=125^{24}\\ \\ 3^{96}=3^{4\cdot24}=(3^4)^{24}=81^{24}\\ \\ 125^{24}>81^{24} \Rightarrow 5^{72}>3^{96}[/tex]