Question

Solve 14ab²x³ over 2abx²

Answer 1

Answer:

$7bx$

Step-by-step explanation:

$\mathrm{Divide\:the\:numbers:}\:\frac{14}{2}=7 =\frac{7ab^2x^3}{abx^2}$

$\mathrm{Cancel\:the\:common\:factor:}\:a =\frac{7b^2x^3}{bx^2}$

$\mathrm{Cancel\:the\:common\:factor:}\:b =\frac{7bx^3}{x^2}$

$\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}\:=\:x^{a-b}$$\frac{x^3}{x^2}=x^{3-2}=x$

$=7bx$

Hope this helps!!!

Answer 2

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