Question

efectuati ex . 6 dau 50 de puncte

Answer 1

Ai răspuns pe foaie.

Answer 2

6)

a )  ( 5¹⁷ x 5¹⁸  + 7²³ : 7¹⁵ ) : ( 7 x 7² x 7⁵ + 5⁵⁰ : 5¹⁵ ) =

= ( 5 ⁽ ¹⁷ ⁺ ¹⁸ ⁾  + 7 ⁽ ²³ ⁻ ¹⁵ ⁾  ) : ( 7 ⁽ ¹ ⁺ ² ⁺ ⁵ ⁾  + 5 ⁽ ⁵⁰ ⁻ ¹⁵ ⁾  ) =

= ( 5³⁵  + 7 ⁸ ) : ( 7 ⁸ + 5³⁵ ) =

= ( 5³⁵  + 7 ⁸ ) : ( 5³⁵  + 7 ⁸ )  → adunarea este comutativa

=  1    

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b)  [ ( 2¹⁰ ) ⁸ + 6⁵ x 3 ⁷  + 2³^2] : [ ( 2⁵ )¹⁶ + 6 ¹² : 2⁷ + 2⁹] = 1

= [ 2⁽ ¹⁰ ˣ ⁸ ⁾ + ( 2 x 3 )⁵  x 3⁷ + 2⁹ ] : [ 2 ⁽ ⁵ ˣ ¹⁶  + ( 2 x 3 )¹² : 2⁷ + 2⁹ ] =

= ( 2 ⁸⁰ + 2⁵ x 3⁵ x 3⁷ + 2⁹ ) : ( 2⁸⁰ + 3¹² x 2¹² : 2⁷ + 2⁹ ) =

= ( 2⁸⁰ + 2⁵ x 3 ⁽ ⁵ ⁺ ⁷ ⁾   + 2⁹ ) : ( 2⁸⁰ + 3¹² x 2 ⁵ + 2⁹ ) =

=  ( 2⁸⁰ + 2⁵ x 3¹² + 2⁹ ) : (  2⁸⁰ + 2⁵ x 3¹² + 2⁹ ) =

= 1

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Obs. 2 la puterea a 3 -a la patrat = 2⁹