Question

Can somebody step by step explain how to solve this problem?? (3x^2y)(-7xy^3)

Answer 1

Answer:

-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

Answer:

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

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: $\bold{y^3y=\:y^{1+3}=\:y^4}$

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

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

➤ $\bold{-21x^3y^4}$

$\boxed{\bold{Mordancy}}$