To solve the equation \(\frac{z^?}{z^7} = z^{12}\), we first simplify the left side of the equation.
Using the properties of exponents:
\[ \frac{z^?}{z^7} = z^{? - 7} \]
Now, we can set the simplified left side equal to the right side:
\[ z^{? - 7} = z^{12} \]
Since the bases are the same (as long as \(z \neq 0\)), we can equate the exponents:
\[ ? - 7 = 12 \]
Now, solve for \(?\):
\[ ? = 12 + 7 = 19 \]
Thus, the solution is:
\[ ? = 19 \]