Convert `G=6.67xx10^(-11)Nm^(2)kg^(-2)` to `cm^(3)s^(-2)g^(-1)`, where G is the universal gravitational constant.

Explanation

To convert the universal gravitational constant \( G = 6.67 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \) to the units \( \text{cm}^3/\text{s}^2/\text{g} \), we will follow these steps:

### Step 1: Understand the Units
We start with the units of \( G \):
- \( \text{N} \) (Newton) is equivalent to \( \text{kg} \cdot \text{m/s}^2 \).
- Therefore, \( \text{Nm}^2/\text{kg}^2 \) can be expressed as:
\[
\text{Nm}^2/\text{kg}^2 = \frac{\text{kg} \cdot \text{m}}{\text{s}^2} \cdot \text{m}^2/\text{kg}^2 = \frac{\text{m}^2}{\text{s}^2 \cdot \text{kg}}.
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