Question

Evaluate the expression for m = –2, n = 10, and p = –20. Simplify your answer.

m − n + p
m2
=

Answer 1

To evaluate the expression \( \frac{m - n + p}{m^2} \) for \( m = -2 \), \( n = 10 \), and \( p = -20 \), we will follow these steps:

1. Calculate \( m - n + p \).
2. Calculate \( m^2 \).
3. Substitute the values into the expression.

**Step 1: Calculate \( m - n + p \)**

\[
m - n + p = -2 - 10 - 20
\]

Calculating this step by step:

\[
-2 - 10 = -12
\]
\[
-12 - 20 = -32
\]

So, \( m - n + p = -32 \).

**Step 2: Calculate \( m^2 \)**

\[
m^2 = (-2)^2 = 4
\]

**Step 3: Substitute these values into the expression**

Now we can substitute \( m - n + p \) and \( m^2 \) into the expression:

\[
\frac{m - n + p}{m^2} = \frac{-32}{4}
\]

Now perform the division:

\[
\frac{-32}{4} = -8
\]

Thus, the simplified result of the expression is:

\[
\boxed{-8}
\]