To simplify the above expression, we can use the quotient rule.
[tex] \frac{x^a}{x^b} =x^(a-b) [/tex]
By using the above property we can subtract the exponents of the same base.
First step is to simplify the above expression, cancel out 5 from both numerator and denominator. Therefore,
[tex] \frac{5p^2}{5p^3} =\frac{p^2}{p^3} [/tex]
=[tex] p^{2-3} [/tex]
= [tex] p^-1 [/tex]
= [tex] \frac{1}{p} [/tex]
Since [tex] x^-1 = \frac{1}{x} [/tex].
So, the correct choice is c) 1/p.
I hope this helps you!