Evaluate 1(1+1/365)^365

$1 {(1 + \frac{1}{365})}^{365}$

Multiply ${(1 + \frac{1}{365})}^{365}$ by $1$ .

${(1 + \frac{1}{365})}^{365}$

Write $1$ as a fraction with a common denominator.

${(\frac{365}{365} + \frac{1}{365})}^{365}$

Combine the numerators over the common denominator.

${(\frac{365 + 1}{365})}^{365}$

Add $365$ and $1$ .

${(\frac{366}{365})}^{365}$

Apply the product rule to $\frac{366}{365}$ .

$\frac{366^{365}}{365^{365}}$