Question

Aplicar las propiedades y luego resolver...

A) $(-4)^{5} . (-4)^{6} : (-4)^{8} =$
B) $((-5)^{6} . (-5))^{2} : (-5)^{11} =$
C) $((-3)^{9} . (-2)^{8} ) : ((-3)^{7} . (-2)^{5} ) =$

Answer 1

A)
(-4)⁵ . (-4)⁶ : (-4)⁸ = (-4)⁵⁺⁶ : ( -4)⁸ = ( -4)¹¹ : ( -4)⁸ = ( -4)¹¹ . ( -4)⁻⁸ = ( -4)¹¹⁻⁸ = ( -4)³

B)
((-5)⁶ . (  -5) )² : ( -5)¹¹ = (( -5)⁶⁺¹)² : ( -5)¹¹ = ((-5)⁷)² : (-5)¹¹ = ( -5)¹⁴ : (-5)¹¹ = ( -5) ¹⁴⁻¹¹ = ( -5) ³

C)
((-3)⁹ . ( -2)⁸) : (( -3)⁷). ( -2)⁵) =  ((-3)⁹. ( -3)⁻⁷ . (-2)⁸ . ( -2)⁻⁵) = (( -3)⁹⁻⁷ . ( -2)⁸⁻⁵) =
(( -3)². ( -2)³)

Answer 2

A)

(-4)⁵ . (-4)⁶ : (-4)⁸ = (-4)⁵⁺⁶ : ( -4)⁸ = ( -4)¹¹ : ( -4)⁸ = ( -4)¹¹ . ( -4)⁻⁸ = ( -4)¹¹⁻⁸ = ( -4)³

B)

((-5)⁶ . (  -5) )² : ( -5)¹¹ = (( -5)⁶⁺¹)² : ( -5)¹¹ = ((-5)⁷)² : (-5)¹¹ = ( -5)¹⁴ : (-5)¹¹ = ( -5) ¹⁴⁻¹¹ = ( -5) ³

C)

((-3)⁹ . ( -2)⁸) : (( -3)⁷). ( -2)⁵) =  ((-3)⁹. ( -3)⁻⁷ . (-2)⁸ . ( -2)⁻⁵) = (( -3)⁹⁻⁷ . ( -2)⁸⁻⁵) =

(( -3)². ( -2)³)