Simplify 13 raised to the 12 ÷13 raised to the −10 power

Answer 1

To simplify \( \frac{13^{12}}{13^{-10}} \), we can use the property of exponents that states:

\[ \frac{a^m}{a^n} = a^{m-n} \]

Applying this property here:

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

So, the simplified form is:

\[ \boxed{13^{22}} \]