To solve for the missing exponent in the equation \( \frac{n^{365}}{n^?} = n^{152} \), we can use the properties of exponents.
According to the properties of exponents:
\[ \frac{a^m}{a^n} = a^{m-n} \]
Applying this to our equation, we have:
\[ \frac{n^{365}}{n^?} = n^{365 - ?} \]
Setting this equal to \( n^{152} \):
\[ n^{365 - ?} = n^{152} \]
Since the bases are the same, we can set the exponents equal to each other:
\[ 365 - ? = 152 \]
Now, we can solve for \( ? \):
\[ 365 - 152 = ? \]
Calculating the left side:
\[ ? = 365 - 152 = 213 \]
Thus, the missing exponent is:
\[ ? = 213 \]
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