Question

VA ROG DAU COROANA si 30 puncte​

Answer 1

Răspuns:

Explicație pas cu pas:

a)  ( 25x5⁵)/(125²) = (5²x5⁵)/(5³)² = 5⁽²⁺⁵⁾/5⁽³ˣ²⁾ = 5⁷/5⁶=

= 5⁽⁷⁻⁶⁾ = 5¹ = 5

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b)  ( 16x8¹⁵) : 32³ =

= (2⁴x2⁽³ˣ¹⁵⁾) : (2⁵)³ =

= 2⁽⁴⁺⁴⁵⁾ : 2⁽⁵ˣ³⁾ =

= 2⁴⁹ : 2¹⁵ =

= 2⁽⁴⁹⁻¹⁵⁾ =

= 2³⁴

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c) 3²⁹ : ( 9⁶ x 27⁵) = 9

9⁶ = (3²)⁶, iar 27⁵ = (3³)⁵

= 3²⁹ : ( 3⁽²ˣ⁶⁾ x 3⁽³ˣ⁵⁾ ) =

= 3²⁹ : ( 3¹² x 3¹⁵ ) =

= 3²⁹ : 3⁽¹²⁺¹⁵⁾ =

= 3²⁹ : 3²⁷ =

= 3⁽²⁹⁻²⁷⁾ =

= 3² =

= 9

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d)  (2³)⁵ x (2⁶)² : 8² =

= 2⁽³ˣ⁵⁾ x 2⁽⁶ˣ²⁾ : (2³)² =

= 2¹⁵ x 2¹² : 2⁽³ˣ²⁾ =

= 2⁽¹⁵⁺¹²⁻⁶⁾ =

= 2²¹

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e)  ( 3⁶ + 3⁰ - 1 ) : (9² x 3) = 3

= (3⁶ + 1 - 1 ) : ( 3²ˣ² x 3 ) =

= 3⁶ : 3⁽⁴⁺¹⁾ =

= 3⁽⁶⁻⁵⁾ =

= 3¹

= 3