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Popular Álgebra >

simplificar-(-xy^2z^3)^5(x^4yz)^2

Solución

simplificar

- (- x y^{2} z^{3})^{5} (x^{4} yz)^{2}

Solución

x^{13} y^{12} z^{17}

Pasos de solución

- (- x y^{2} z^{3})^{5} (x^{4} yz)^{2}

Simplificar

(- x y^{2} z^{3})^{5} : - x^{5} y^{10} z^{15}

= - (- x^{5} y^{10} z^{15}) (x^{4} yz)^{2}

Simplificar

(x^{4} yz)^{2} : x^{8} y^{2} z^{2}

= - (- x^{5} y^{10} z^{15}) x^{8} y^{2} z^{2}

Aplicar la propiedad:

- (- a) = a

- (- x^{5} y^{10} z^{15}) = x^{5} y^{10} z^{15}

= x^{5} y^{10} z^{15} x^{8} y^{2} z^{2}

Simplificar

x^{5} x^{8} : x^{13}

= x^{13} y^{10} z^{15} y^{2} z^{2}

Simplificar

y^{10} y^{2} : y^{12}

= x^{13} y^{12} z^{15} z^{2}

Simplificar

z^{15} z^{2} : z^{17}

= x^{13} y^{12} z^{17}

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