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Popular Álgebra >

simplificar (-2x^3y^3z^2)(-2x^2y^4z^2)^2

Solución

simplificar

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

Solución

- 8 x^{7} y^{11} z^{6}

Pasos de solución

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

Aplicar la propiedad:

(- a) = - a

(- 2 x^{3} y^{3} z^{2}) = - 2 x^{3} y^{3} z^{2}

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

Simplificar

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

= - 2 x^{3} y^{3} z^{2} \cdot 4 x^{4} y^{8} z^{4}

Multiplicar los numeros:

- 2 \cdot 4 = - 8

= - 8 x^{3} y^{3} z^{2} x^{4} y^{8} z^{4}

Simplificar

x^{3} x^{4} : x^{7}

= - 8 x^{7} y^{3} z^{2} y^{8} z^{4}

Simplificar

y^{3} y^{8} : y^{11}

= - 8 x^{7} y^{11} z^{2} z^{4}

Simplificar

z^{2} z^{4} : z^{6}

= - 8 x^{7} y^{11} z^{6}

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