Simplify the answer. (-4m^5)(5m^9)(-2m^3)

To simplify the expression \((-4m^5)(5m^9)(-2m^3)\), follow these steps:

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

2. **Multiply the variables** (using the rule \(a^m \times a^n = a^{m+n}\)):
   \[
   m^5 \times m^9 \times m^3 = m^{5+9+3} = m^{17}
   \]

So, the simplified expression is:
\[
40m^{17}
\]

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the result of \((-3m^2)(2m^4)(-m)\)?
2. How do you simplify the expression \((6x^3y^2)(-2xy^3)\)?
3. What is the coefficient in the expression \(40m^{17}\)?
4. How do you simplify the expression if the exponents are negative, such as \((-4m^{-5})(5m^9)(-2m^{-3})\)?
5. What happens if one of the coefficients is a fraction or decimal, like \((-4m^5)(2.5m^2)(-2m^3)\)?

**Tip:** When multiplying like terms with the same base, you add the exponents.

Learn how to simplify the expression (-4m^5)(5m^9)(-2m^3) with a detailed step-by-step solution. This problem involves multiplication of monomials and exponent rules, specifically adding exponents when multiplying like terms. Suitable for students in Grades 7-9.

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