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Popular Álgebra >

simplificar (-3x^4y^2z)^5

Solución

simplificar

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

Solución

- 243 x^{20} y^{10} z^{5}

Pasos de solución

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

Aplicar las leyes de los exponentes:

(- a)^{n} = - a^{n},

si

n

es impar

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

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

Aplicar las leyes de los exponentes:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

3^{5} = 243

= - 243 (x^{4})^{5} (y^{2})^{5} z^{5}

Simplificar

(x^{4})^{5} : x^{20}

= - 243 x^{20} (y^{2})^{5} z^{5}

Simplificar

(y^{2})^{5} : y^{10}

= - 243 x^{20} y^{10} z^{5}

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