To solve the equation \(2^2 \times 2^? = 2^{13}\), we can use the properties of exponents. Specifically, when multiplying two exponential terms with the same base, we can add their exponents:
\[ 2^2 \times 2^? = 2^{2 + ?} \]
So we can rewrite the equation as:
\[ 2^{2 + ?} = 2^{13} \]
Since the bases are the same, we can set the exponents equal to each other:
\[ 2 + ? = 13 \]
Now, we solve for \( ? \):
\[ ? = 13 - 2 = 11 \]
Thus, the value of \( ? \) is \( \boxed{11} \).