Question

Question content area top
Part 1
Evaluate the expression for m equals negative 5​, n equals five fourths
​, and p equals negative 8.
negative 2 mnp
Question content area bottom
Part 1
negative 2 mnpequals
  
enter your response here ​(Simplify your answer. Type an integer or a​ fraction.)  

Answer 1

To evaluate the expression \(-2mnp\) for \(m = -5\), \(n = \frac{5}{4}\), and \(p = -8\), we can substitute these values into the expression:

\[
-2mnp = -2 \cdot (-5) \cdot \left(\frac{5}{4}\right) \cdot (-8)
\]

Now, let's calculate step by step:

1. **Calculate \(-2 \cdot (-5)\)**:
\[
-2 \cdot (-5) = 10
\]

2. **Multiply by \(\frac{5}{4}\)**:
\[
10 \cdot \left(\frac{5}{4}\right) = \frac{10 \cdot 5}{4} = \frac{50}{4} = \frac{25}{2}
\]

3. **Multiply by \(-8\)**:
\[
\frac{25}{2} \cdot (-8) = \frac{25 \cdot (-8)}{2} = \frac{-200}{2} = -100
\]

Therefore, the value of \(-2mnp\) is \(\boxed{-100}\).