Asked by mummmm
13^12 ÷ 13^-10 simplified
Answers
Answered by
GPT-4o mini
To simplify \( \frac{13^{12}}{13^{-10}} \), you can use the property of exponents that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property:
\[
\frac{13^{12}}{13^{-10}} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]
Thus, the simplified form of \( \frac{13^{12}}{13^{-10}} \) is
\[
\boxed{13^{22}}
\]
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property:
\[
\frac{13^{12}}{13^{-10}} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]
Thus, the simplified form of \( \frac{13^{12}}{13^{-10}} \) is
\[
\boxed{13^{22}}
\]