Fin the value of
`( - 14 a ^(4) b ^(3) c) / (- 7 abc)`

Options

A. `- 2a ^(3) b ^(2) c `
B. `- 2a ^(3) b ^(2)`
C. `2a ^(3) b ^(2)`
D. `2 abc`

Answer

To solve the expression \((-14 a^4 b^3 c) / (-7 abc)\), we can simplify it step by step.

### Step-by-Step Solution:

1. **Write the expression**:
\[ \frac{-14 a^4 b^3 c}{-7 a b c} \]

2. **Cancel the negative signs**:
The negative signs in the numerator and denominator cancel each other out:
\[ \frac{14 a^4 b^3 c}{7 a b c} \]

3. **Divide the coefficients**:
Divide \(14\) by \(7\):
\[ 14 \div 7 = 2 \]

4. **Simplify the variables**:
- For \(a^4\) divided by \(a\):
\[ a^4 \div a = a^{4-1} = a^3 \]
- For \(b^3\) divided by \(b\):
\[ b^3 \div b = b^{3-1} = b^2 \]
- For \(c\) divided by \(c\):
\[ c \div c = 1 \quad (\text{cancels out}) \]

5. **Combine the results**:
Putting it all together, we have:
\[ 2 a^3 b^2 \]

### Final Answer:
The simplified expression is:
\[ 2 a^3 b^2 \]