To simplify \( 7^{12} \times 7^{-6} \), you can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
So, we combine the exponents:
\[ 7^{12} \times 7^{-6} = 7^{12 + (-6)} = 7^{12 - 6} = 7^6 \]
Thus, the simplified expression in exponential form is:
\[ 7^6 \]