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____ [38]
3 years ago
8

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

Mathematics
2 answers:
azamat3 years ago
6 0

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

charle [14.2K]3 years ago
5 0

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}}

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