Respuesta :

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!

Q&A Education