13^19/13^-9 simplify and leave your answer in exponential form

Answer 1

To simplify \( \frac{13^{19}}{13^{-9}} \), you can use the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).

Here, \( a = 13 \), \( m = 19 \), and \( n = -9 \). Substituting these values into the property gives:

\[ \frac{13^{19}}{13^{-9}} = 13^{19 - (-9)} = 13^{19 + 9} = 13^{28} \]

Thus, the simplified answer in exponential form is:

\[ \boxed{13^{28}} \]