Answered

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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]
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