Ответы
Відповідь:
Покрокове пояснення:
# а) 2⁻⁷ : 2⁻⁵ = 2⁻⁷⁻⁽ ⁻⁵ ⁾ = 2⁻² = 1/4 ;
б) 7⁻⁶ : 7⁻⁷ = 7⁻⁶⁻ ⁽⁻⁷ ⁾= 7¹ = 7 ;
в) ( - 3 )⁻³ : 3 = - 3⁻³ : 3¹ = - 3⁻² = - 1/9 ;
г) ( 1/4 )⁻⁵ : ( 1/4 )⁻⁴ = ( 1/4 )⁻¹ = 4 ;
д) ( 1/2 )⁻³ : (- 1/2 )² = ( 1/2 )⁻³ : ( 1/2 )² = ( 1/2 )⁻⁵ = 1/2⁵ = 1/32 ;
е) (- 1/1 )⁵ : 1⁻⁴ = ( - 1 )⁵ : 1 = - 1 : 1 = - 1 .
Пошаговое объяснение:
а) 2-⁷ : 2-⁵ = 2^(-7 - (-5)) = 2^(-7+5) = 2-² = 1/(2²) = 1/4
б) 7-⁶ : 7-⁷ = 7^(-6 - (-7)) = 7^(-6+7) = 7¹ = 7
в) (-3)-³ : 3 = -3-³ : 3 = -3-³ : 3¹ = -3^(-3-1) = -3-⁴ = - 1/(3⁴) = -1/81
г) (1/4)-⁵ : (1/4)-⁴ = 1/4^(-5 - (-4)) = 1/4^(-5+4) = (1/4)-1 = 4
д) (1/2)-³ : (-1/2)² = (1/2)-³ : (1/2)² = 1/2^(-3-2) = (1/2)-⁵ = 2⁵ = 32
е) (-1/1)⁵ : 1-⁴ = -(1/1)⁵ : 1 = -1/1 = -1