Step 1:
The given equation of the ellipse is
$$
\frac{(x+6)^{2}}{16}+\frac{(y-6)^{2}}{36}=1
$$
In the standard form of the equation of an ellipse, the denominators represent $a^2$ and $b^2$, where $a$ is the semi-major axis and $b$ is the semi-minor axis.
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