Question
Simplify 13^12 divide by 13^-10
Answers
GPT-4o mini
To simplify \( \frac{13^{12}}{13^{-10}} \), you can apply the laws of exponents. According to the quotient rule, when dividing two expressions with the same base, you subtract the exponents:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have:
\[
\frac{13^{12}}{13^{-10}} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]
Therefore, the simplified expression is:
\[
\boxed{13^{22}}
\]
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have:
\[
\frac{13^{12}}{13^{-10}} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]
Therefore, the simplified expression is:
\[
\boxed{13^{22}}
\]