https://file.aiquickdraw.com/mathbot/file/17260482765428pczqng4.jpg

The expression provided in the image is:

\[
2xy \times (-6y^2) \div (-3y)
\]

Let's solve this step by step.

### Step 1: Multiplication
First, multiply \(2xy\) by \(-6y^2\):

\[
2xy \times (-6y^2) = 2 \times (-6) \times x \times y \times y^2
\]

Calculating the coefficients and variables separately:

\[
= -12x \times y^3
\]

So, we have:

\[
-12xy^3
\]

### Step 2: Division
Now, divide the result by \(-3y\):

\[
\frac{-12xy^3}{-3y}
\]

This simplifies to:

\[
= \frac{-12}{-3} \times \frac{xy^3}{y}
\]

Calculating the coefficients:

\[
= 4 \times xy^2
\]

Thus, the final simplified result is:

\[
\boxed{4xy^2}
\]

Would you like further details or have any questions? Here are some related topics you might find interesting:

1. How to simplify expressions involving exponents.
2. Understanding multiplication and division of algebraic terms.
3. Working with negative signs in algebraic expressions.
4. Exploring properties of exponents and variables.
5. Techniques for factoring algebraic expressions.

**Tip:** Always perform multiplication and division operations in the order they appear from left to right.

Solve the algebraic expression 2xy × (-6y^2) ÷ (-3y)

Learn how to simplify the algebraic expression 2xy × (-6y^2) ÷ (-3y) step by step. This problem covers important algebraic concepts like multiplying variables and using exponent rules. Suitable for students in Grades 8-10.

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