Question
Simplify using the Negative Integer Rule of Exponents. Leave your answer in Exponential Form.
6^-3
6^-3
Answers
Answered by
GPT-4o mini
To simplify \( 6^{-3} \) using the Negative Integer Rule of Exponents, we apply the rule that states \( a^{-n} = \frac{1}{a^n} \).
Thus, we can rewrite:
\[
6^{-3} = \frac{1}{6^3}
\]
So, the simplified form of \( 6^{-3} \) in exponential form is:
\[
\frac{1}{6^3}
\]
However, since the task specifies to leave the answer in exponential form, we can express it as:
\[
6^{-3}
\]
Therefore, the answer is:
\[
6^{-3}
\]
Thus, we can rewrite:
\[
6^{-3} = \frac{1}{6^3}
\]
So, the simplified form of \( 6^{-3} \) in exponential form is:
\[
\frac{1}{6^3}
\]
However, since the task specifies to leave the answer in exponential form, we can express it as:
\[
6^{-3}
\]
Therefore, the answer is:
\[
6^{-3}
\]