Question

Simplificar
[(9/8×z^(-3)×y^2×2/3×z^(-5) )*(4/6×x^6×y^(-5)×9/2×x^0 )]^2=

Answer 1

Creo que quedaría asi:

[(9/8×z^(-3)×y^2×2/3×z^(-5) )*(4/6×x^6×y^(-5)×9/2×x^0 )]^2
[(9/8 z^(-3) y^2×2/3 z^(-5) )*(4/6 x^6 y^(-5)×9/2)]^2
[(9/8 z^(-3) y^2×2/3 z^(-5) )*(36/12 x^6 y^(-5))]^2
Aplicando propiedad distributiva:
[18/8 x^6 y^2 y^-5 z^-3 * 6/3x^6 y^-5 z^-5]^2
[(9/4 x^6 y^2 y^-5 z^-3 * 2/1x^6 y^-5 z^-5]^2
Multiplicando:
[18/4 x^12 y^2 y^-10 z^-8]^2
[18/4 x^12 y^2 / y^10 z^8]^2
[9/2 x^12 y^2 / y^10 z^8]^2
81/4x^24y^4 / y^20 z^16