To solve the equation \( 6^{-4} \div 6^{?} = 6^{13} \), we can use the properties of exponents.
We know that:
\[ a^m \div a^n = a^{m-n} \]
Using this property, we can rewrite the equation as:
\[ 6^{-4 - ?} = 6^{13} \]
Since the bases are the same, we can set the exponents equal to each other:
\[ -4 - ? = 13 \]
Now, we need to solve for \( ? \):
\[ -? = 13 + 4 \] \[ -? = 17 \] \[ ? = -17 \]
Thus, the missing value is:
\[ \boxed{-17} \]