Question

amandoua daca se poate,daca nu faceti ori 3 ori 4​

Answer 1

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

Answer 2

$\bf 3.\\ \\ \left.\begin{aligned}\it 4^{32}=(2^2)^{32}=2^{64}\\ \\ 8^{24}=(2^3)^{24}=2^{72}\\ \\ 16^{25}=(2^4)^{25}=2^{100} \end{aligned} \right\} \Rightarrow 4^{32}<8^{24}<16^{25}$

$\bf 4.\\ \\ \it 5^{72}=5^{3\cdot24}=(5^3)^{24}=125^{24}\\ \\ 3^{96}=3^{4\cdot24}=(3^4)^{24}=81^{24}\\ \\ 125^{24}>81^{24} \Rightarrow 5^{72}>3^{96}$