Răspuns:
Explicație pas cu pas:
a)
5⁹¹= 5*5⁹⁰= 5*(5²)⁴⁵=5*25⁴⁵
24⁹⁰= (24²)⁴⁵= 576⁴⁵
5*25⁴⁵>24⁴⁵
5⁹¹>24⁹⁰
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b)
4⁵⁵⁵= (2²)⁵⁵⁵=2¹¹¹⁰
8³³³= (2³)³³³=2⁹⁹⁹
2¹¹¹⁰>2⁹⁹⁹
4⁵⁵⁵>6³³³
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c)
2⁴⁵= 2*2⁴⁴=2*(2⁴)¹¹=(2⁵)¹¹=2⁵⁵
16²²=(2⁴)²²=2⁸⁸
2⁵⁵<2⁸⁸
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d)
125²⁶= (5³)²⁶=5⁷⁸
25³⁵=(5²)³⁵=5⁷⁰
5⁷⁸>5⁷⁰
125²⁶>25³⁵
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e)
36¹¹²=(6²)¹¹²=6⁶⁷²
6³³³=6³³³ .............nu se vede clar puterea
6⁶⁷²>6³³³
36¹¹²>6³³³
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f)
27⁸⁴=(3³)⁸⁴=3²⁵²............nu de vede clar
9¹³⁰= (3²)¹³⁰=3²⁶⁰
3²⁵²<3²⁶⁰
27⁸⁴<9¹³⁰
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g)
2⁹¹=2⁹¹
64²⁴= ( 2⁶)²⁴=2¹⁴⁴
2⁹¹<2¹⁴⁴
2⁹¹<2¹⁴⁴
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h)
121⁹⁰=(11²)⁹⁰=11¹⁸⁰
11⁹⁰=11⁹⁰
11¹⁸⁰>11⁹⁰
121⁹⁰>11⁹⁰
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i)
32⁴⁰=(2⁵)⁴⁰=2²⁰⁰............nu se vede clar
16¹³⁵=(2⁴)¹³⁵=2⁵⁴⁰
2²⁰⁰<2⁵⁴⁰
32⁴⁰<16¹³⁵
