To simplify \( 6^{-3} \) using the Negative Integer Rule of Exponents, you can use the fact that \( a^{-n} = \frac{1}{a^n} \) for any non-zero number \( a \) and any positive integer \( n \).
Applying this rule to \( 6^{-3} \):
\[ 6^{-3} = \frac{1}{6^3} \]
Thus, the simplified form of \( 6^{-3} \) in exponential form is:
\[ \frac{1}{6^3} \]
If you want to leave the answer purely in exponential form, you could express it as:
\[ 6^{-3} \]
However, it is often acceptable to show it as \( \frac{1}{6^3} \) as well.