Question

Can somebody step by step explain how to solve this problem??

(3x^2y)(-7xy^3)

Answer 1

-21 · x³ · y^4

Step-by-step explanation:

Let's do this multiplication in 3 parts:

3(-7) = -21, and:

x2 · x = x³, and:

y · y³ = y^4

Multiplying these three factors together results in -21 · x³ · y^4

Answer 2

`\boxed{\bold{-21x^3y^4}}`

Step-by-step explanation:

[ Step One ] Remove Parenthesis: (a) = a

`\bold{-3x^2y\cdot \:7xy^3}`

[ Step Two ] Multiply:
`\bold{3\cdot \:7=21}`

`\bold{-21x^2xy^3y}`

[ Step Three ] Apply Exponent Rule
`\bold{\:a^b\cdot \:a^c=a^(b+c): \ x^2x=\:x^(2+1)=\:x^3}`

`\bold{-21x^3y^3y}`

[ Step Four ] Apply Exponent Rule:
`\bold{y^3y=\:y^(1+3)=\:y^4}`

`\bold{-21x^3y^4}`

[
`\boxed{\bold{Final \ Answer}}` ]

➤
`\bold{-21x^3y^4}`

`\boxed{\bold{Mordancy}}`