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The given expression is:

\[
\frac{-2z}{3y} \times \frac{-x^2}{y}
\]

Let's simplify this step by step.

### Step 1: Multiply the numerators.
The numerators are \(-2z\) and \(-x^2\). Multiplying these gives:

\[
-2z \times -x^2 = 2zx^2
\]

### Step 2: Multiply the denominators.
The denominators are \(3y\) and \(y\). Multiplying these gives:

\[
3y \times y = 3y^2
\]

### Step 3: Combine the results.
Now, combine the numerator and denominator:

\[
\frac{2zx^2}{3y^2}
\]

Thus, the simplified form of the given expression is:

\[
\frac{2zx^2}{3y^2}
\]

Would you like any additional details or further explanation?

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Here are 5 related questions you might find useful:
1. How do you simplify fractions involving variables?
2. How do you multiply fractions with negative signs?
3. What are the rules for multiplying variables with exponents?
4. How do you handle negative exponents when simplifying expressions?
5. How can this expression be applied to a real-world problem?

**Tip**: Always combine like terms and simplify the expression before multiplying fractions for easier calculations!

Simplify the expression: (-2z / 3y) * (-x^2 / y)

Learn how to simplify the algebraic fraction expression (-2z / 3y) * (-x^2 / y) with step-by-step guidance. This problem covers multiplication of fractions, handling of negative signs, and exponent rules. Suitable for students in Grades 6-8.

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