Question

13 to the 12 power divided by 13 to the negative 10 power

Answer 1

To simplify \( \frac{13^{12}}{13^{-10}} \), you can use the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).

So in this case:

\[
\frac{13^{12}}{13^{-10}} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]

Thus,

\[
\frac{13^{12}}{13^{-10}} = 13^{22}.
\]