Question

How do you simplify `(4x y ) ( 3x ^ { 2} y ^ { 3} ) ( - 2x ^ { 3} y )`?

Answer 1

`-24x^6y^5`

Explanation:

`(4xy)(3x^2y^3)(-2x^3y)`
Note that all of this is just multiply.
So, you can see this as
`4*x*y*3*x^2*y^3*(-2)*x^3*y`
Now arrange it in your mind
Put all number together
Put all `x` together
Put all `y` together.
`4*3*(-2)*x*x^2*x^3*y*y^3*y`
Let's do this in different part.
`4*3*-2=-24`

`x*x^2*x^3=x^(1+2+3)=x^6`

`y*y^3*y=y^(1+3+1)=y^5`

So,
`4*3*(-2)*x*x^2*x^3*y*y^3*y`
`=-24*x^6*y^5`
`=-24x^6y^5`

Hope this help!!!