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

Answer 1

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

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

In this case, \( a = 13 \), \( m = 12 \), and \( n = -10 \). Applying the property:

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

Thus, the simplified form is:

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