c) \( \frac{p^{7}}{p^{5}} \)

To simplify \( \frac{p^{7}}{p^{5}} \), utilize the property of exponents that states when you divide like bases, you subtract the exponents: \( a^{m} / a^{n} = a^{m-n} \). So here, we have \( p^{7-5} = p^{2} \). Voilà! The simplified form is \( p^{2} \). If you're ever in doubt while handling exponents, remember this nifty rule: keep an eye on the base and focus on the exponents. Solutions often come down to simple subtraction or addition, just like a math magician making problems disappear!