Simplify using the Negative Integer Rule of Exponents. Leave your answer in Exponential Form. 6^-3

1 answer

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.