Respuesta:
a. √1/9 = √1/√9 = 1/3 = 0.333...
b. √64/100 = √64/√100 = 8/10 = 4/5 = 0.8
c. ∛27/125 = ∛27/∛125 = 3/5 =0.6
d. ∛-8/216 = ∛-8/∛216 = -2/6 = -1/3 = -0.333...
e. √49/81 = √49/√81 = 7/9 = 0.777...
d. √-16/36, esta raíz no es posible calcularla ya que no existe ningún numero que elevado al cuadrado sea igual a -16. Recuerda que:
√16 = 4, ya que 4² es 16, por lo que jamás será negativo
a) (³√4)(³√5) = ³√(4×5) = ³√20
b) (⁴√x²)(⁴√xy³) = ⁴√(x²xy³) = ⁴√(x³y³)
c) (⁷√2ab⁵)(⁷√5a³b²) = ⁷√(2ab⁵ × 5a³b²) = ⁷√(5a⁴b⁷) = b × ⁷√5a⁴
d) (⁵√w²)(⁴√z⁵) = (²⁰√w⁸)(²⁰√z²⁵) = ²⁰√(w⁸z²⁵) = z × ²⁰√(w⁸z⁵)
e) (³√3²)(⁶√2) = (⁶√3⁴)(⁶√2) = ⁶√(3⁴×2)
f) (⁷√2²)(⁴√6) = (²⁸√2⁸)(²⁸√6⁷) = ²⁸√(2⁸6⁷) = ²⁸√(2⁸(2×3)⁷= ²⁸√(2⁸2⁷3⁷) = ²⁸√2¹⁵3⁷ = ²⁸√2¹⁵ × ²⁸√3⁷ = ²⁸√2¹⁵ × ⁴√3
g) (⁴√x⁵)(³√x²) = (¹²√x¹⁵)(¹²√x⁸) = ¹²√x¹⁵x⁸ = ¹²√x²³ = x × ¹²√x¹¹
h) (⁵√w²)(⁴√z⁵) = (²⁰√w⁸)(²⁰√z²⁵) = ²⁰√(w⁸z²⁵) = z × ²⁰√(w²z⁵) = z × ²⁰√w² × ²⁰√z⁵ = z × ¹⁰√w × ⁴√z
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Respuesta:
a. √1/9 = √1/√9 = 1/3 = 0.333...
b. √64/100 = √64/√100 = 8/10 = 4/5 = 0.8
c. ∛27/125 = ∛27/∛125 = 3/5 =0.6
d. ∛-8/216 = ∛-8/∛216 = -2/6 = -1/3 = -0.333...
e. √49/81 = √49/√81 = 7/9 = 0.777...
d. √-16/36, esta raíz no es posible calcularla ya que no existe ningún numero que elevado al cuadrado sea igual a -16. Recuerda que:
√16 = 4, ya que 4² es 16, por lo que jamás será negativo
Verified answer
Respuesta:
a) (³√4)(³√5) = ³√(4×5) = ³√20
b) (⁴√x²)(⁴√xy³) = ⁴√(x²xy³) = ⁴√(x³y³)
c) (⁷√2ab⁵)(⁷√5a³b²) = ⁷√(2ab⁵ × 5a³b²) = ⁷√(5a⁴b⁷) = b × ⁷√5a⁴
d) (⁵√w²)(⁴√z⁵) = (²⁰√w⁸)(²⁰√z²⁵) = ²⁰√(w⁸z²⁵) = z × ²⁰√(w⁸z⁵)
e) (³√3²)(⁶√2) = (⁶√3⁴)(⁶√2) = ⁶√(3⁴×2)
f) (⁷√2²)(⁴√6) = (²⁸√2⁸)(²⁸√6⁷) = ²⁸√(2⁸6⁷) = ²⁸√(2⁸(2×3)⁷= ²⁸√(2⁸2⁷3⁷) = ²⁸√2¹⁵3⁷ = ²⁸√2¹⁵ × ²⁸√3⁷ = ²⁸√2¹⁵ × ⁴√3
g) (⁴√x⁵)(³√x²) = (¹²√x¹⁵)(¹²√x⁸) = ¹²√x¹⁵x⁸ = ¹²√x²³ = x × ¹²√x¹¹
h) (⁵√w²)(⁴√z⁵) = (²⁰√w⁸)(²⁰√z²⁵) = ²⁰√(w⁸z²⁵) = z × ²⁰√(w²z⁵) = z × ²⁰√w² × ²⁰√z⁵ = z × ¹⁰√w × ⁴√z