Question

Solve 14ab²x³ over 2abx²

Answer 1

`7bx`

Explanation:

`\mathrm{Divide\:the\:numbers:}\:(14)/(2)=7 =(7ab^2x^3)/(abx^2)`

`\mathrm{Cancel\:the\:common\:factor:}\:a =(7b^2x^3)/(bx^2)`

`\mathrm{Cancel\:the\:common\:factor:}\:b =(7bx^3)/(x^2)`

`\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)\:=\:x^(a-b)`
`(x^3)/(x^2)=x^(3-2)=x`

`=7bx`

Hope this helps!!!

Answer 2

`Use\ (a^n)/(a^m)=a^(n-m)\\\\(14ab^2x^3)/(2abx^2)=(14)/(2)\cdot(a)/(a)\cdot(b^2)/(b)\cdot(x^3)/(x^2)=7\cdot1\cdot b^(2-1)\cdot x^(3-2)=\boxed{7bx}`