Let's solve the expression step by step:

Given expression:

\[
6(-5)^3(-5+4)^2
\]

1. **Evaluate \((-5+4)\):**

   \[
   -5 + 4 = -1
   \]

   Now, the expression becomes:

   \[
   6(-5)^3(-1)^2
   \]

2. **Evaluate \((-5)^3\):**

   \[
   (-5)^3 = (-5) \times (-5) \times (-5) = -125
   \]

   Now, the expression is:

   \[
   6(-125)(-1)^2
   \]

3. **Evaluate \((-1)^2\):**

   \[
   (-1)^2 = 1
   \]

   So the expression simplifies to:

   \[
   6(-125)(1)
   \]

4. **Multiply the remaining terms:**

   \[
   6 \times (-125) \times 1 = -750
   \]

So, the final answer is:

\[
\boxed{-750}
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. Simplify \(7(-3)^2(2 + 3)^2\).
2. Calculate \(4(-2)^3(-3 + 1)\).
3. Solve \(8(-4)(-2)^2(-1 + 2)\).
4. Simplify \(2(-6)^2(3 + 2)^3\).
5. Evaluate \(5(-7)^3(-4 + 3)^2\).

**Tip:** Remember to follow the order of operations (PEMDAS) when solving such expressions. This ensures that each step is done correctly.

Discover how to simplify the expression 6(-5)^3(-5+4)^2 with a step-by-step approach, focusing on key algebraic concepts such as exponents and order of operations. This guide is ideal for students in Grades 6-8.

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