Question

-336x2y3
Reduce
to lowest terms

Answer 1

`-(42y)/(x)`

Explanation:

Apply the fraction rule:
`(-a)/(b)=-(a)/(b)`

`=-(336x^2y^3)/(8x^3y^2)`

Divide the numbers:
`(336)/(8) =42`

`=(42x^2y^3)/(x^3y^2)`

Apply the exponent rule:
`(x^a)/(x^b)=(1)/(x^(b-a))`

`(x^2)/(x^3)=(1)/(x^(3-2))`

`=(42y^3)/(y^2x^(3-2))`

Subtract the numbers:
`\:3-2=1`

`=(42y^3)/(xy^2)`

Apply the exponent rule:
`(x^a)/(x^b)=x^(a-b)`

`(y^3)/(y^2)=y^(3-2)`

`=(42y^(3-2))/(x)`

Subtract the numbers:
`3-2=1`

`=-(42y)/(x)`