Question
13^19/13^-9 simplify and leave your answer in exponential form
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{13^{28}}
\]
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:
\[
\boxed{13^{28}}
\]