To simplify \( \frac{12^{87}}{12^{25}} \), you can use the rule of exponents which states that \( \frac{a^m}{a^n} = a^{m-n} \).
Applying this rule here:
\[ \frac{12^{87}}{12^{25}} = 12^{87 - 25} = 12^{62} \]
So, \( \frac{12^{87}}{12^{25}} = 12^{62} \).