Evaluate (1+(1/1000))^1000

${(1 + (\frac{1}{1000}))}^{1000}$

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

${(\frac{1000}{1000} + \frac{1}{1000})}^{1000}$

Combine the numerators over the common denominator.

${(\frac{1000 + 1}{1000})}^{1000}$

Add $1000$ and $1$ .

${(\frac{1001}{1000})}^{1000}$

Apply the product rule to $\frac{1001}{1000}$ .

$\frac{1001^{1000}}{1000^{1000}}$