Question
Simplify.
Rewrite the expression in the form
\[8^n\].
\[(8^{-8})(8^{3})=\]
Rewrite the expression in the form
\[8^n\].
\[(8^{-8})(8^{3})=\]
Answers
GPT-4o mini
To simplify the expression \((8^{-8})(8^{3})\), we apply the property of exponents that states \(a^m \cdot a^n = a^{m+n}\).
In this case, we can combine the exponents of 8:
\[
(8^{-8})(8^{3}) = 8^{-8 + 3} = 8^{-5}
\]
Now, we have rewritten the expression in the desired form \(8^n\). Therefore, we can express \((8^{-8})(8^{3})\) as:
\[
\boxed{8^{-5}}
\]
In this case, we can combine the exponents of 8:
\[
(8^{-8})(8^{3}) = 8^{-8 + 3} = 8^{-5}
\]
Now, we have rewritten the expression in the desired form \(8^n\). Therefore, we can express \((8^{-8})(8^{3})\) as:
\[
\boxed{8^{-5}}
\]