To simplify \( 6^{-3} \) using the negative integer rule of exponents, we can apply the rule that states \( a^{-n} = \frac{1}{a^n} \).
So, we can rewrite \( 6^{-3} \) as:
\[ 6^{-3} = \frac{1}{6^3} \]
The simplified answer in exponential form is:
\[ \frac{1}{6^3} \]
If you want to express it as a single exponent, you can also write it as:
\[ 6^{-3} \]
Both forms are correct, but the first one shows the negative exponent rule clearly.