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The question is asking to find the value of the expression:

\[
\frac{x \cdot y^3}{x^3 \cdot y}
\]

given that \( x = -1 \) and \( y = 2 \).

Let's simplify the expression step-by-step:

\[
\frac{x \cdot y^3}{x^3 \cdot y} = \frac{(-1) \cdot (2^3)}{(-1)^3 \cdot (2)} = \frac{-1 \cdot 8}{-1 \cdot 2} = \frac{-8}{-2} = 4
\]

So, the value of the expression is 4, which corresponds to option **D**.

Would you like more details on the simplification process, or do you have any questions? Here are some related questions for further practice:

1. What happens if \(x = 1\) and \(y = 3\)?
2. How would the expression change if the powers of \(x\) and \(y\) were different?
3. How would the result differ if \(x = 0\)?
4. Can you rewrite the given expression using only positive exponents?
5. What are the implications of the signs in the expression?

**Tip:** When simplifying expressions involving exponents, always check if terms can be canceled out or simplified before substituting values!

Jika diketahui nilai x = -1 dan y = 2 maka nilai dari xy^3 / x^3y adalah . . .

Learn how to simplify the expression xy^3 / x^3y given x = -1 and y = 2. This problem covers algebraic concepts and exponent laws, suitable for students in Grades 7-9.

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