Show that the SI unit of `epsilon_0` may be written as farad `meter^(-1)`.

Explanation

To show that the SI unit of \( \epsilon_0 \) (the permittivity of free space) can be expressed as farad per meter (\( \text{F m}^{-1} \)), we can start from the formula for the capacitance of a parallel plate capacitor.

### Step-by-Step Solution:

1. **Understanding Capacitance**:
The capacitance \( C \) of a parallel plate capacitor is given by the formula:
\[
C = \frac{A \epsilon_0}{d}
...