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
