To simplify \( 12^{87} \div 12^{25} \), you can use the properties of exponents. Specifically, when you divide two exponents with the same base, you subtract their exponents:
\[ a^m \div a^n = a^{m-n} \]
In this case, you have:
\[ 12^{87} \div 12^{25} = 12^{87-25} \]
Now, perform the subtraction:
\[ 87 - 25 = 62 \]
So, you get:
\[ 12^{87} \div 12^{25} = 12^{62} \]
Thus, the simplified form is:
\[ \boxed{12^{62}} \]
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