Simplify 12⁸⁷ ÷ 12²⁵

Answer 1

To simplify \( 12^{87} ÷ 12^{25} \), we can use the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).

Applying this to our expression:

\[ 12^{87} ÷ 12^{25} = 12^{87 - 25} \]

Now, we compute \( 87 - 25 \):

\[ 87 - 25 = 62 \]

Thus, we have:

\[ 12^{87} ÷ 12^{25} = 12^{62} \]

So, the simplified form is:

\[ \boxed{12^{62}} \]