Question

Oblicz najprostszym sposobem, czyli ma być jak najłatwiej za zastosowaniem wzoru wynik wychodzi -63 przynajmniej tak pisze w odpowiedziach. ^- do potęgi /-kreska ułamkowa.

[(2/3)^-6 - (1/3)^-6] x 1,5^-6 = ?

PROSZE O POMOC DUŻO PUNKTÓW I DAJE NAJ

Answer 1

[(2/3)^-6 - (1/3)^-6] x 1,5^-6 = 

(2/3)^(-6)  x 1,5^(-6) - (1/3)^(-6) x 1,5^(-6) = 

(2/3 * 1,5)^(-6) - (1/3 * 1,5)^(-6) =

(2/3 * 3/2)^(-6) - (1/3 * 3/2)^(-6) =

1^(-6) - (1/2)^(-6) =  1 - 2^6 = 1 - 64 = -63 

Answer 2

   [(2/3)⁻⁶ - (1/3)⁻⁶] × 1,5⁻⁶ =

= [(2/3)⁻⁶ - (1/3)⁻⁶] × (3/2)⁻⁶ =

= (2/3)⁻⁶ × (3/2)⁻⁶ - (1/3)⁻⁶ × (3/2)⁻⁶ =

= (3/2)⁶ × (3/2)⁻⁶ - 3⁶ × (3/2)⁻⁶ =

= (3/2)⁶⁻⁶ - 3⁶ × 2⁶ × 3⁻⁶ =

= (3/2)⁰ - 2⁶ × 3⁶⁻⁶ =

= 1 - 2⁶ × 3⁰ =

= 1 - 2⁶ ×1 =

= 1 - 2⁶ =

= 1-64 =

= -63