To solve for the missing exponent represented by the question mark (\(?\)) in the equation
\[ \frac{z^?}{z^6} = z^{19} \]
we can use the properties of exponents. When dividing two expressions with the same base, we subtract the exponent in the denominator from the exponent in the numerator:
\[ \frac{z^?}{z^6} = z^{? - 6} \]
Now we can set this equal to the right side of the equation:
\[ z^{? - 6} = z^{19} \]
Since the bases are the same, we can equate the exponents:
\[ ? - 6 = 19 \]
To isolate \(?\), we can add 6 to both sides:
\[ ? = 19 + 6 \]
So,
\[ ? = 25 \]
Therefore, the missing value for \( z^? \) is \( 25 \).