Question

comparati numerele urmatoare aducand puterile la acelasi exponent:dau coroana

Answer 1

a)  3²²  si  2³³

3²² = ( 3² )¹¹ = 9¹¹

2³³ = ( 2³ ) ¹¹ = 8¹¹

9¹¹ > 8¹¹ ==>   3²² > 2³³

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b)   4³³ si  3⁴⁴

4³³ = (4³ )¹¹ = 64¹¹

3⁴⁴ = ( 3⁴ )¹¹ = 81¹¹

64¹¹ < 81¹¹ ==>   4³³ <  3⁴⁴

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c)   11²² si  22¹¹

11²² = ( 11² ) ¹¹ = 121¹¹

121¹¹ >   22¹¹ == >   11²² >  22¹¹

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d)   2³⁹  si   3²⁶

2³⁹ = ( 2³ ) ¹³ = 8¹³

3²⁶ = ( 3² ) ¹³ = 9¹³

8¹³ < 9¹³==>   2²⁹ <  3²⁶

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e)    5⁴⁵  si  6³⁰

5⁴⁵ = ( 5³ )¹⁵ = 125¹⁵

6³⁰ = ( 6² ) ¹⁵= 36¹⁵

125 ¹⁵  >   36 ¹⁵  == >  5⁴⁵ >  6³⁰

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f)  15⁹⁰  si   6¹³⁵

 15⁹⁰ = ( 15² ) ⁴⁵ = 225⁴⁵

6¹³⁵ = ( 6³ ) ⁴⁵ = 216 ⁴⁵

225⁴⁵  >   216 ⁴⁵  == >  15⁹⁰   >  6¹³⁵