Question

3/4 x (-2/3) x (-6/5)

Answer 1

Respuesta:

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

Explicación paso a paso:

$\frac{3}{4}x\left(-\frac{2}{3}\right)x\left(-\frac{6}{5}\right)$

$\mathrm{Quitar\:los\:parentesis}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a$

$=\frac{3}{4}x\frac{2}{3}x\frac{6}{5}$

$\mathrm{Aplicar\:las\:leyes\:de\:los\:exponentes}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=\frac{3}{4}\cdot \frac{2}{3}x^{1+1}\frac{6}{5}$

$\mathrm{Sumar:}\:1+1=2$

$=\frac{3}{4}\cdot \frac{2}{3}x^2\frac{6}{5}$

$\mathrm{Multiplicar\:fracciones}:\quad \:a\cdot \frac{b}{c}\cdot \frac{d}{e}=\frac{a\:\cdot \:b\:\cdot \:d}{c\:\cdot \:e}$

$=\frac{3\cdot \:2\cdot \:6x^2}{4\cdot \:3\cdot \:5}$

$\mathrm{Eliminar\:los\:terminos\:comunes:}\:3$

$=\frac{2\cdot \:6x^2}{4\cdot \:5}$

$\mathrm{Simplificar}$

$=\frac{12x^2}{20}$

$\mathrm{Eliminar\:los\:terminos\:comunes:}\:4$

$=\frac{3x^2}{5}$