Question

Si x× = 2 calcula:
S = xײ + x×+ײ

Alguien sabe???

Answer 1

Respuesta:

Explicación paso a paso:

S = Xˣ² + Xˣ⁺ˣ²

Propiedades de las potencias

(Xᵃ)ᵇ = Xᵃᵇ

XᵃXᵇ = Xᵃ⁺ᵇ

Xˣ² = (Xˣ)ˣ = Xˣˣ = Xˣ²

Xˣ⁺ˣ² = Xˣ Xˣ² = Xˣ (Xˣ)ˣ = Xˣ(Xˣˣ) = Xˣ(Xˣ²) = Xˣ⁺ˣ²

S = Xˣ² + Xˣ⁺ˣ²

  = (Xˣ)ˣ  + Xˣ (Xˣ)ˣ

Sabiendo que xˣ = 2,

S = (2)ˣ + 2 (2)ˣ

  = 2ˣ(1 + 2)

  = 2ˣ(3)

  = 3(2ˣ)