Răspuns :

Cocirmariadenisid

Răspuns:

Explicație pas cu pas:

a) [2¹² x ( - 4)⁵ x ( - 8)² ]² : ( 4³)⁹ = 4

=  [2¹² x ( - 2²)⁵ x ( - 2³)² ]² : ( 2⁽²ˣ³⁾)⁹ =

=  [2¹² x ( - 2⁽²ˣ⁵⁾) x 2⁶ ]² : ( 2⁶)⁹ =

= [2¹² x ( - 2¹⁰) x 2⁶ ]² : 2⁶ˣ⁹ =

=  [(-2¹²⁺¹⁰⁺⁶]² : 2⁵⁴=

= ( -2²⁸)² : 2⁵⁴ =

= 2⁽²⁸ˣ²⁾⁻⁵⁴ =

= 2⁽⁵⁶⁻⁵⁴⁾ =

= 2² =

= 4

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b)  [9² x ( -3)⁵ : 27 ]² :(-81)³ = 1

= [3²ˣ² x ( -3)⁵ : 3³ ]² :(-3⁴)³ =

= [3⁴ x ( -3)⁵ : 3³ ]² :(-3⁴ˣ³ ) =

= ( - 3⁴⁺⁵⁻³)² : ( -3¹²) =

= ( -3⁶ˣ²) : (-3¹²) =

= (-3)¹²⁻¹² =

= (-3)⁰ =

= 1

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c)    (-7³)¹¹ : [ (-49)⁸ x 343⁵] = - 49

= ( -7³ˣ¹¹) : (7⁽²ˣ⁸⁾ x 7⁽³ˣ⁵⁾) =

= ( -7³³) : (7¹⁶⁺¹⁵ ) =

= - 7⁽³³⁻³¹) =

= - 7² =

= - 49

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d)  ( - 5)⁸³ :  [ (-5)²² x 25³⁰] = - 5

= ( -5)⁸³ :  [ (-5)²² x 5⁽²ˣ³⁰⁾] =

= ( -5)⁸³ : 5⁽²²⁺⁶⁰⁾ =

= - 5⁽⁸³⁻⁸²⁾ =

= - 5¹=

= - 5

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e)  ( - 3³)⁴⁰ :  [ (-3)²⁷ x 27³⁰] = - 27

= 3⁽³ˣ⁴⁰⁾ : ( -3²⁷⁺⁽³ˣ³⁰⁾) =

= 3¹²⁰ : ( -3⁽²⁷⁺⁹⁰⁾) =

= - 3⁽¹²⁰⁻¹¹⁷⁾ =

= - 3³ =

= - 27

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f)   (-3)³² : ( - 3)³⁰ + ( -3)³² : ( -3)³¹ =6

= (-3)⁽³²⁻³⁰⁾ + ( -3)⁽³²⁻³¹⁾ =

= (-3)² + (-3)¹ =

= 9 - 3 =

= 6