Respuesta :

gmany

[tex]Use\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{14ab^2x^3}{2abx^2}=\dfrac{14}{2}\cdot\dfrac{a}{a}\cdot\dfrac{b^2}{b}\cdot\dfrac{x^3}{x^2}=7\cdot1\cdot b^{2-1}\cdot x^{3-2}=\boxed{7bx}[/tex]

violettkdv35

Answer:

[tex]7bx[/tex]

Step-by-step explanation:

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{14}{2}=7 =\frac{7ab^2x^3}{abx^2}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:a =\frac{7b^2x^3}{bx^2}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:b =\frac{7bx^3}{x^2}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}\:=\:x^{a-b}[/tex][tex]\frac{x^3}{x^2}=x^{3-2}=x[/tex]

[tex]=7bx[/tex]

Hope this helps!!!

Otras preguntas