If * is an operation between m and n such that m* n means m - (-n), then simplify (-6) * (-4).

Options

A. 10
B. `-10`
C. `-8`
D. 8

Answer

To simplify the expression (-6) * (-4) using the operation defined as m * n = m - (-n), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the operation**: The operation m * n is defined as m - (-n). This means we will subtract the negative of n from m.

2. **Identify the values**: In our case, we need to simplify (-6) * (-4). Here, m = -6 and n = -4.

3. **Substitute the values into the operation**: According to the operation defined, we substitute m and n:
\[ (-6) * (-4) = -6 - (-(-4)) \]

4. **Simplify the double negative**: The expression -(-4) simplifies to +4. Therefore, we can rewrite the expression:
\[ (-6) * (-4) = -6 - 4 \]

5. **Perform the subtraction**: Now, we calculate -6 - 4:
\[ -6 - 4 = -10 \]

6. **Final result**: Thus, the simplified result of (-6) * (-4) is:
\[ -10 \]

### Final Answer:
\[ (-6) * (-4) = -10 \]