isabella292008
Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Simplify [tex]\((4xy)(2x^2y)(3xy)^3\)[/tex].

A. [tex]\(24x^2y^3\)[/tex]
B. [tex]\(24x^6y^5\)[/tex]
C. [tex]\(216x^3y^3\)[/tex]
D. [tex]\(216x^6y^5\)[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\((4xy)(2x^2y)(3xy)^3\)[/tex], follow these steps:

1. Expand [tex]\((3xy)^3\)[/tex]:

[tex]\[ (3xy)^3 = 3^3 \cdot x^3 \cdot y^3 = 27x^3y^3 \][/tex]

2. Combine the expressions:

[tex]\[ (4xy)(2x^2y)(27x^3y^3) \][/tex]

3. Multiply the coefficients:

[tex]\[ 4 \cdot 2 \cdot 27 = 216 \][/tex]

4. Combine the [tex]\(x\)[/tex] terms:

[tex]\[ x \cdot x^2 \cdot x^3 = x^{1+2+3} = x^6 \][/tex]

5. Combine the [tex]\(y\)[/tex] terms:

[tex]\[ y \cdot y \cdot y^3 = y^{1+1+3} = y^5 \][/tex]

Putting it all together, the simplified expression is:

[tex]\[ 216 x^6 y^5 \][/tex]

Thus, the correct choice is:

[tex]\[ \boxed{216 x^6 y^5} \][/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.