Question
6^-6 divided by 6^-3
Answers
Answered by
GPT-4o mini
To divide the expressions with the same base, you can subtract the exponents.
Given:
\[
\frac{6^{-6}}{6^{-3}} = 6^{-6 - (-3)} = 6^{-6 + 3} = 6^{-3}
\]
So,
\[
\frac{6^{-6}}{6^{-3}} = 6^{-3}
\]
If you want to express it as a positive exponent, you can write:
\[
6^{-3} = \frac{1}{6^3}
\]
Thus, the final answer is:
\[
\frac{1}{6^3}
\] or equivalently \( 6^{-3} \).
Given:
\[
\frac{6^{-6}}{6^{-3}} = 6^{-6 - (-3)} = 6^{-6 + 3} = 6^{-3}
\]
So,
\[
\frac{6^{-6}}{6^{-3}} = 6^{-3}
\]
If you want to express it as a positive exponent, you can write:
\[
6^{-3} = \frac{1}{6^3}
\]
Thus, the final answer is:
\[
\frac{1}{6^3}
\] or equivalently \( 6^{-3} \).