Question

Scrieti ca o singura putere: (poza)

Answer 1

5)  a )   2⁷ x 7⁷ = ( 2 x 7 )⁷ = 14⁷

b)   5¹⁴ : ( - 3 )¹⁴ = ( - 5 / 3 )¹⁴

c)   2,5¹² x 4²⁰¹² : ( - 10 ²⁰¹² ) = ( 25 / 10 )¹² x ( 2²) ²⁰¹² : ( - 10 ²⁰¹² ) =

= ( 5 ¹² / 2¹² )  x 2⁴⁰²⁴  : ( - 10 ²⁰¹² ) =

= ( 5¹² x 2⁴⁰¹² ) : ( - 5²⁰¹² x 2²⁰¹² ) =

= -  2²⁰⁰⁰ / 5²⁰⁰⁰ = ( - 2 / 5 ) ²⁰⁰⁰  

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d)     ( 4 / 5 ) ¹⁹ x ( - 25 / 17 )¹⁹ x ( - 17 / 4 ) ¹⁹ =

=[ ( 4 / 4 ) x ( 25 / 5 ) x ( 17 / 17 ) ] ¹⁹ =   ( - ) x ( - ) = +

= 5¹⁹

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e)  ( - 8 / 7 )¹¹ x ( 7 / - 12 )¹¹ =

= [ ( 8 / 12 ) x ( 7 / 7 ) ] ¹¹ =

= ( 2 / 3 )¹¹

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f)    ( - 27 )⁸ x ( - 1 / 33 )²⁴ =  ( 1 / 11 )²⁴

= ( 3³ ) ⁸ x  1 / (11 x 3 )²⁴ =

= 3²⁴ x 1 / 3²⁴  x 1 / 11²⁴ =

= ( 1 / 11 )²⁴