Simplify 13 with an exponent of 12 divided by 13 with an exponent of -10.

Answer 1

To simplify the expression \( \frac{13^{12}}{13^{-10}} \), we use the rule of exponents which states that when dividing like bases, we subtract the exponents:

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

Applying this to our expression:

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

Thus, the simplified expression is:

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