Question

ayudddaaaaa porffavor​

Answer 1

Respuesta:

27 / 8

Explicación paso a paso:

a Δ b = 3[∛(b Δ a)²] / 2

Hallar  b Δ a:

b Δ a = 3[∛(a Δ b)²] / 2

Reemplazar:

a Δ b = 3[∛(3[∛(a Δ b)²] / 2)²] / 2

Al cubo:

(a Δ b)³ = [3[∛(3[∛(a Δ b)²] / 2)²] / 2]³

(a Δ b)³ = 3³[∛(3[∛(a Δ b)²] / 2)²]³ / 2³

(a Δ b)³ = 3³(3[∛(a Δ b)²] / 2)² / 2³

(a Δ b)³ = 3³(3²[∛(a Δ b)²]² / 2²) / 2³

(a Δ b)³ = 3⁵[∛(a Δ b)²]² / 2⁵

De nuevo al cubo:

{(a Δ b)³]³ = [3⁵[∛(a Δ b)²]² / 2⁵]³

(a Δ b)⁹ = (3⁵)³[[∛(a Δ b)²]²]³ / (2⁵)³

(a Δ b)⁹ = 3¹⁵[[∛(a Δ b)²]³]² / 2¹⁵

(a Δ b)⁹ = 3¹⁵[(a Δ b)²]² / 2¹⁵

(a Δ b)⁹ = 3¹⁵(a Δ b)⁴ / 2¹⁵

Simplificar:

(a Δ b)⁵ = 3¹⁵ / 2¹⁵

(a Δ b)⁵ = (3³)⁵ / (2³)⁵

(a Δ b)⁵ = (3³ / 2³)⁵

a Δ b = 3³ / 2³

a Δ b = 27 / 8

Hallar:

6 Δ (7 Δ 5)

6 Δ (27 / 8)

27 / 8