Question
z^?/z^7=z^12
sovle ?
sovle ?
Answers
GPT-4o mini
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:
\[
? = 19
\]
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:
\[
? = 19
\]