Question

(-m)⁴*(n)⁴*[(-m)³]²*(m*n²)³/(-m⁶[(-n)²]⁵ Porfavor resuelve este ejercicio por mi con procedimiendo porfavor​

Answer 1

$\frac{\left(-m\right)^4n^4\left(\left(-m\right)^3\right)^2\left(mn^2\right)^3}{-m^6\left(\left(-n\right)^2\right)^5}$

$=\frac{\left(-m\right)^4n^4\left(\left(-m\right)^3\right)^2m^3n^6}{-m^6\left(\left(-n\right)^2\right)^5}$

$=\frac{\left(-m\right)^4n^4\left(\left(-m\right)^3\right)^2n^6}{-m^3\left(\left(-n\right)^2\right)^5}$

$\mathrm{Aplicar\:las\:leyes\:de\:los\:exponentes}:\quad \left(-a\right)^n=a^n,\:\quad \mathrm{si\:}n\mathrm{\:es\:par}$

$\left(-m\right)^4=m^4$

$=\frac{m^4n^4\left(\left(-m\right)^3\right)^2n^6}{-m^3\left(\left(-n\right)^2\right)^5}$

$=\frac{mn^4\left(\left(-m\right)^3\right)^2n^6}{-\left(\left(-n\right)^2\right)^5}$

$=-m^7$