Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Which expression is equivalent to [tex] \frac{60 x^{20} y^{24}}{30 x^{10} y^{12}} \]?

A. [tex] 2 x^2 y^2 \]
B. [tex] 2 x^{10} y^{12} \]
C. [tex] 30 x^2 y^2 \]
D. [tex] 30 x^{10} y^{12} \]

Sagot :

GinnyAnswer
To determine which expression is equivalent to [tex]\(\frac{60 x^{20} y^{24}}{30 x^{10} y^{12}}\)[/tex], let's break down the components and simplify step by step.

1. Simplify the Coefficients:
[tex]\[ \frac{60}{30} = 2 \][/tex]

2. Simplify the [tex]\(x\)[/tex] Term:
[tex]\[ \frac{x^{20}}{x^{10}} = x^{20 - 10} = x^{10} \][/tex]

3. Simplify the [tex]\(y\)[/tex] Term:
[tex]\[ \frac{y^{24}}{y^{12}} = y^{24 - 12} = y^{12} \][/tex]

Combining these simplified components, the equivalent expression is:
[tex]\[ 2 x^{10} y^{12} \][/tex]

Therefore, the expression equivalent to [tex]\(\frac{60 x^{20} y^{24}}{30 x^{10} y^{12}}\)[/tex] is:
[tex]\[ \boxed{2 x^{10} y^{12}} \][/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.