Question
X to the power of 15 divided by X to the -9 power
Answers
GPT-4o mini
To simplify the expression \( \frac{x^{15}}{x^{-9}} \), you can use the property of exponents that states:
\[
\frac{a^m}{a^n} = a^{m-n}.
\]
Applying this property, we have:
\[
\frac{x^{15}}{x^{-9}} = x^{15 - (-9)} = x^{15 + 9} = x^{24}.
\]
So, the simplified expression is:
\[
x^{24}.
\]
\[
\frac{a^m}{a^n} = a^{m-n}.
\]
Applying this property, we have:
\[
\frac{x^{15}}{x^{-9}} = x^{15 - (-9)} = x^{15 + 9} = x^{24}.
\]
So, the simplified expression is:
\[
x^{24}.
\]