To solve for the missing value in the equation \( 7^7 \times 7^? = 7^{11} \), we can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
Applying this property, we get:
\[ 7^7 \times 7^? = 7^{7 + ?} \]
This means:
\[ 7^{7 + ?} = 7^{11} \]
Since the bases are the same, we can set the exponents equal to each other:
\[ 7 + ? = 11 \]
To find \( ? \), subtract 7 from both sides:
\[ ? = 11 - 7 \] \[ ? = 4 \]
Thus, the missing value is \( ? = 4 \).