Question

ajutați-mă cu astea, va rog.

Answer 1

2)

a)   6²² = ( 6² ) ¹¹ = 36¹¹

2⁵⁵ = ( 2⁵ )¹¹ = 32¹¹

==>   36¹¹  >   32¹¹ ==>   6²² >  2⁵⁵

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b) 3²¹ si  6¹⁴

3²¹ = ( 3³ ) ⁷ = 27⁷

6¹⁴ = ( 6² )⁷ = 36⁷

== >   27⁷  <   36⁷  == >   3²¹ <   6¹⁴

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f)   4²⁹   si 7 ¹⁸ x 16

4²⁹ = ( 2² ) ²⁹ = 2⁵⁸ = 2⁴ x 2⁵⁴= 2⁴ x ( 2³ ) ¹⁸ = 2⁴ x 8¹⁸

2⁴ x 8¹⁸   >    7¹⁸ x 2⁴ ==>    4²⁹  >   7¹⁸ x 16

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g)   5³⁴ x 9   si  3⁵³

5³⁴ x 9 = ( 5² ) ¹⁷ x 9 = 25¹⁷x 9

3⁵³ = 3² x 3⁵¹ = 9 x ( 3³ ) ¹⁷ = 9 x 27¹⁷

==>    25¹⁷ x 9  <   9 x 27¹⁷ ==>  5³⁴ x 9   <   3⁵³