To solve for the missing exponent in the equation \( 4^{-3} \cdot 4^? = 4^{13} \), we can use the laws of exponents.
According to the law of exponents, when multiplying like bases, you add the exponents:
\[ 4^{-3} \cdot 4^? = 4^{-3 + ?} \]
So, we can rewrite the equation as:
\[ 4^{-3 + ?} = 4^{13} \]
Since the bases are the same, we can set the exponents equal to each other:
\[ -3 + ? = 13 \]
To solve for \( ? \), we can add 3 to both sides:
\[ ? = 13 + 3 \] \[ ? = 16 \]
Thus, the missing value is:
\[ \boxed{16} \]