To solve \(-5v^3 \times 4v^2\), we will multiply the coefficients and the variables separately.

1. **Multiply the coefficients**:  
   \(-5 \times 4 = -20\)

2. **Multiply the powers of \(v\)**:  
   Using the rule of exponents, \(v^m \times v^n = v^{m+n}\):  
   \(v^3 \times v^2 = v^{3+2} = v^5\)

Thus, \(-5v^3 \times 4v^2 = -20v^5\).

Would you like more details or have any questions? Here are some related questions:

1. How do you multiply polynomials with more terms?
2. What are the rules of exponents for division?
3. How do you factor expressions like \(-20v^5\)?
4. Can you explain multiplying variables with negative exponents?
5. What happens when multiplying terms with different variables?

**Tip**: Always simplify the coefficients first before dealing with the variables in algebraic expressions.

Learn how to multiply monomials in the expression -5v^3 × 4v^2 with a detailed step-by-step solution. This problem demonstrates the application of the laws of exponents and basic algebraic multiplication. Suitable for students in Grades 7-9.

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