Simplify the following and leave your answer in exponential form. (Example: write 525^25

2
not 252525 ).

p19p5\frac{p^{19}}{p^{5}}
p
5

p
19

1 answer

To simplify \(\frac{p^{19}}{p^{5}}\), we use the property of exponents that states:

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

In this case, we have:

\[ \frac{p^{19}}{p^{5}} = p^{19-5} = p^{14} \]

Therefore, the simplified expression is:

\[ p^{14} \]