Multiply the following 4ab square x 2 ab cube (-5ab cube)

Let's multiply the given expression step by step.

The expression is:

\[
(4ab^2) \times (2ab^3) \times (-5ab^3)
\]

1. **Multiply the coefficients**:  
   \(4 \times 2 \times -5 = -40\)

2. **Multiply the \(a\) terms**:  
   \(a \times a \times a = a^3\)

3. **Multiply the \(b\) terms**:  
   \(b^2 \times b^3 \times b^3 = b^{2+3+3} = b^8\)

Now, combine all the terms:

\[
-40a^3b^8
\]

So, the product is:

\[
\boxed{-40a^3b^8}
\]

Would you like any further details or explanations? Here are some related questions:

1. How do you simplify algebraic expressions involving multiple variables?
2. What are the rules for multiplying powers with the same base?
3. How would the result change if the exponents were different in each term?
4. Can you factorize the expression \(-40a^3b^8\)?
5. How would you divide \(-40a^3b^8\) by another monomial?

**Tip:** When multiplying algebraic expressions, handle coefficients, and variables separately, and always pay attention to the signs.

Learn how to multiply the algebraic expression 4ab^2 × 2ab^3 × (-5ab^3) with a detailed step-by-step solution. This problem involves handling coefficients and variables, including the multiplication of powers with the same base. Suitable for students in Grades 7-9.

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