Question
Find the missing value for x^?/x^7=x^12
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{x^?}{x^7} = x^{12} \), we can use the properties of exponents.
First, we can rewrite the left-hand side of the equation:
\[
\frac{x^?}{x^7} = x^{? - 7}
\]
Now, we can set the exponents equal to each other since both sides of the equation have the base \( x \):
\[
? - 7 = 12
\]
To find the value of \( ? \), we can add 7 to both sides:
\[
? = 12 + 7
\]
\[
? = 19
\]
Thus, the missing value for \( x^? \) is:
\[
\boxed{19}
\]
First, we can rewrite the left-hand side of the equation:
\[
\frac{x^?}{x^7} = x^{? - 7}
\]
Now, we can set the exponents equal to each other since both sides of the equation have the base \( x \):
\[
? - 7 = 12
\]
To find the value of \( ? \), we can add 7 to both sides:
\[
? = 12 + 7
\]
\[
? = 19
\]
Thus, the missing value for \( x^? \) is:
\[
\boxed{19}
\]
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