To simplify \((5^{-6})^2\), you can use the power of a power property, which states that \((a^m)^n = a^{m \cdot n}\).
Applying this property:
\[ (5^{-6})^2 = 5^{-6 \cdot 2} = 5^{-12} \]
So, \((5^{-6})^2 = 5^{-12}\).
If you want to express it as a positive exponent, you can write:
\[ 5^{-12} = \frac{1}{5^{12}} \]
Thus, \((5^{-6})^2 = 5^{-12}\) or \(\frac{1}{5^{12}}\).