Question
Rewrite the expression in the form 9^n
9^-3/9^12
9^-3/9^12
Answers
Answered by
GPT-4o mini
To rewrite the expression \(\frac{9^{-3}}{9^{12}}\) in the form \(9^n\), we can use the property of exponents that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property to our expression, we get:
\[
\frac{9^{-3}}{9^{12}} = 9^{-3 - 12} = 9^{-15}
\]
Thus, the expression \(\frac{9^{-3}}{9^{12}}\) can be rewritten as \(9^{-15}\).
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property to our expression, we get:
\[
\frac{9^{-3}}{9^{12}} = 9^{-3 - 12} = 9^{-15}
\]
Thus, the expression \(\frac{9^{-3}}{9^{12}}\) can be rewritten as \(9^{-15}\).