Răspuns:
Explicație pas cu pas:
c) 2⁸⁵ cu 16²²
16²² = ( 2⁴)²² = 2⁴ˣ²² = 2⁸⁸
=> 2⁸⁵ < 2⁸⁸ => 2⁸⁵ < 16²²
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d) 125²⁶ cu 25³⁵
125²⁶ = ( 5³)²⁶ = 5³ˣ²⁶ = 5⁷⁸
25³⁵ = ( 5²)³⁵ = 5²ˣ³⁵ = 5⁷⁰
=> 5⁷⁸ > 5⁷⁰ => 125²⁶ > 25³⁵
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e) 36¹¹² si 6³³³
36¹¹² = (6²)¹¹² = 6²ˣ¹¹² = 6²²⁴
=> 6²²⁴ < 6³³³ => 36¹¹² < 6³³³
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f) 27⁸⁴ cu 9¹³⁰
27⁸⁴= ( 3³)⁸⁴ = 3³ˣ⁸⁴ = 3²⁵²
9¹³⁰ = ( 3²)¹³⁰ = 3²ˣ¹³⁰ = 3²⁶⁰
=> 3²⁵² < 3²⁶⁰ => 27⁸⁴ < 9¹³⁰
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g) 2⁹¹ cu 64²⁴
64²⁴ = ( 2⁶)²⁴ = 2⁶ˣ²⁴ = 2¹⁴⁴
=> 2⁹¹ < 2¹⁴⁴ => 2⁹¹ < 64²⁴
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h) 121⁴⁵ cu 11⁹⁰
121⁴⁵ = ( 11²)⁴⁵ = 11²ˣ⁴⁵ = 11⁹⁰
=> 11⁹⁰ = 11⁹⁰ < => 121⁴⁵ = 11⁹⁰
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i) 32⁹⁰ cu 16¹³⁵
32⁹⁰ = ( 2⁵)⁹⁰ = 2⁵ˣ⁹⁰ = 2⁴⁵⁰
16¹³⁵ = ( 2⁴)¹³⁵ = 2⁴ˣ¹³⁵ = 2⁵⁴⁰
=> 2⁴⁵⁰ < 2⁵⁴⁰ < = > 32⁹⁰ < 16¹³⁵
