Question

comparati numerele urmatoare aducand puterile la acelasi exponent 4/50 repede

Answer 1

4) a)  

3²² = ( 3² )¹¹ = 9¹¹

2³³ = ( 2³ )¹¹ = 8¹¹

deduc ==>  9¹¹ >  8¹¹ ==>   3²² >  2³³

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b)

4³³ = ( 4³ ) ¹¹ = 64¹¹

3⁴⁴ = ( 3⁴ ) ¹¹ = 81¹¹

== >   64¹¹ < 81¹¹ ==>   4³³  <  3⁴⁴

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c)  

11²² = ( 11² )¹¹ = 121¹¹   si   22¹¹

==>   121¹¹   >  22¹¹  ==>   11²² >   22¹¹

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d)  

2³⁹= ( 2³ )¹³ = 8¹³

3²⁶ = ( 3² )¹³ = 9¹²

==>   8¹³  <   9¹² ==>   2³⁹  <   3²⁶

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e)

5⁴⁵ = ( 5³ )¹⁵ = 125¹⁵

6³⁰ = ( 6² )¹⁵ = 36¹⁵

==>    125¹⁵   >  36¹⁵ ==>  5⁴⁵ >  6³⁰

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f)  

15⁹⁰ = ( 15² )⁴⁵ = 225⁴⁵

6¹³⁵ = ( 6³ )⁴⁵ = 216⁴⁵

==>    225⁴⁵  >  216⁴⁵ ==>   15⁹⁰  >  6¹³⁵