Which of the following expression(s) are equivalent to (x^(2)y^(3))/(xy) ? Select all that apply. A. xy^2 B. xy^3/y C. x^2y^2/x D. x^3x^4

Simplify Expression: Simplify the given expression. We start by simplifying the given expression (x^(2)y^(3))/(xy) by canceling out common factors in the numerator and the denominator. (x^(2)y^(3))/(xy) = x^(2-1)y^(3-1) = xy^2Check Option A: Check each option for equivalence. A. xy^2: This is the simplified form we found in Step 1, so it is equivalent.Check Option B: Check option B. B. xy^3/y: Simplify this expression by canceling out the common factor y in the numerator and the denominator. xy^3/y = xy^(3-1) = xy^2 This is equivalent to the simplified expression from Step 1.Check Option C: Check option C. C. x^2y^2/x: Simplify this expression by canceling out the common factor x in the numerator and the denominator. x^2y^2/x = x^(2-1)y^2 = xy^2 This is equivalent to the simplified expression from Step 1.Check Option D: Check option D. D. x^3x^4: This expression does not have the variable y, and it is not in the form of the simplified expression from Step 1, so it is not equivalent.

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Which of the following expression(s) are equivalent to $\newline$ $(x^{2}y^{3})/(xy)$ ? Select all that apply. $\newline$ A. $xy^2$ $\newline$ B. $\frac{xy^3}{y}$ $\newline$ C. $\frac{x^2y^2}{x}$ $\newline$ D. $x^3x^4$

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Algebra 1

Identify a sequence as explicit or recursive

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Q. Which of the following expression(s) are equivalent to

\newline

(x^{2}y^{3})/(xy)

? Select all that apply.

\newline

xy^2

\newline

\frac{xy^3}{y}

\newline

\frac{x^2y^2}{x}

\newline

x^3x^4

Simplify Expression: Simplify the given expression. $\newline$ We start by simplifying the given expression $(x^{2}y^{3})/(xy)$ by canceling out common factors in the numerator and the denominator. $\newline$ $(x^{2}y^{3})/(xy) = x^{2-1}y^{3-1} = xy^2$
Check Option A: Check each option for equivalence. $\newline$ A. $xy^2$ : This is the simplified form we found in Step $1$ , so it is equivalent.
Check Option B: Check option B. $\newline$ B. $xy^3/y$ : Simplify this expression by canceling out the common factor $y$ in the numerator and the denominator. $\newline$ $xy^3/y = xy^{3-1} = xy^2$ $\newline$ This is equivalent to the simplified expression from Step $1$ .
Check Option C: Check option C. $\newline$ C. $x^2y^2/x$ : Simplify this expression by canceling out the common factor $x$ in the numerator and the denominator. $\newline$ $x^2y^2/x = x^{2-1}y^2 = xy^2$ $\newline$ This is equivalent to the simplified expression from Step $1$ .
Check Option D: Check option D. $\newline$ D. $x^3x^4$ : This expression does not have the variable $y$ , and it is not in the form of the simplified expression from Step $1$ , so it is not equivalent.