To simplify the expression \((-5x^3y^2)(-2x^4y^5)\), follow these steps:

1. **Multiply the constants**:
   \[
   (-5) \times (-2) = 10
   \]

2. **Multiply the powers of \(x\)**:
   \[
   x^3 \times x^4 = x^{3+4} = x^7
   \]

3. **Multiply the powers of \(y\)**:
   \[
   y^2 \times y^5 = y^{2+5} = y^7
   \]

Now, combine everything:

\[
10x^7y^7
\]

The simplified expression is:

\[
10x^7y^7
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you simplify more complex algebraic expressions?
2. What are the laws of exponents and how do they apply to multiplication?
3. How do you handle negative exponents in algebraic expressions?
4. Can you show the distributive property in similar expressions?
5. How do you multiply polynomials?

### Tip:
When multiplying variables with exponents, just add the exponents if the base is the same!

Learn how to simplify the algebraic expression (-5x^3y^2)(-2x^4y^5) by using the laws of exponents. This step-by-step solution covers the multiplication of powers and constants, providing clear guidance for students in Grades 8-10.

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