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81 la puterea a treia: la 27 la puterea a patra = ????


Răspuns :

Salut,

81³ = (9·9)³  = (3²·3²)³ = (3⁴)³ = 3¹²

27⁴ = (3³)⁴ = 3¹²

Deci 81³ : 27⁴ = 3¹² : 3¹² = 1.

Green eyes.

81³ : 27⁴ = ( 9 x 9 )³ : ( 3 x 9 )⁴ = ( 3² x 3² )³ : ( 3 x 3² ) ⁴ = ( 3²⁺² ) ³ : ( 3¹⁺²)⁴

= 3⁴ ˣ ³  : 3³ ˣ ⁴ = 3¹² : 3¹² = 3 ⁽ ¹² ⁻ ¹² ⁾ = 3⁰ =  1