Question

resolver aplicando propiedades:
((-6)^3)^5 × (-6)^8 ÷ ((-6)^2)^10 =

Answer 1

Respuesta:    $-216$

Explicación paso a paso:

$\left(\left(-6\right)^3\right)^5\frac{\left(-6\right)^8}{\left(\left(-6\right)^2\right)^{10}}$

$=\left(-6\right)^{15}\frac{\left(-6\right)^8}{\left(\left(-6\right)^2\right)^{10}}$

$=-6^{15}\times \frac{\left(-6\right)^8}{\left(\left(-6\right)^2\right)^{10}}$

$=-6^{15}\times \frac{1}{2^{12}\times \:3^{12}}$

Multiplicar fracciones: $a\times \frac{b}{c}=\frac{a\:\times \:b}{c}$

$=-\frac{1\times \:6^{15}}{2^{12}\times \:3^{12}}$

Multiplicar: $1\times \:6^{15}=6^{15}$

$=-\frac{6^{15}}{2^{12}\times \:3^{12}}$

Cancelar

$=-2^3\times \:3^3$

$=-3^3\times \:8$

$=-8\times \:27$

$=-216$

Espero haberte ayudado :D