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Natasha2012 [34]
3 years ago
15

Just need someone to check my answer

Mathematics
2 answers:
mixas84 [53]3 years ago
3 0
<span>The correct answer is 216x</span>⁶<span>y</span>⁵<span>.

Explanation:
The first thing we do is raise the last monomial to the third power.

(4xy)(2x</span>²<span>y)(3xy)</span>³
<span>=(4xy)(2x</span>²<span>y)(3</span>³<span>x</span>³<span>y</span>³<span>)
=4xy(2x</span>²<span>y)(27x</span>³<span>y</span>³<span>).

Now we can multiply the first two monomials. When we multiply powers with the same base, we add the exponents:
8x</span>³<span>y</span>²<span>(27x</span>³<span>y</span>³<span>).

We multiply these last two monomials, again adding the exponents:
216x</span>⁶<span>y</span>⁵<span>.</span>
Dimas [21]3 years ago
3 0

Answer:  216x^6y^5

Step-by-step explanation:

The product law of exponents are given as :-

a^m\times a^n=a^{m+n}

Given expression:-(4xy)(2x^2y)(3xy)^3

Which can be written as

(4xy)(2x^2y)(27x^3y^3)\\=4\cdot2\cdot27\cdot x^{1+2+3}y^{1+1+3}\\=216x^6y^5

hence the simplifies form of the given expression is  216x^6y^5

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