Evaluate (1+1/10)^10

${(1 + \frac{1}{10})}^{10}$

Step 1

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

${(\frac{10}{10} + \frac{1}{10})}^{10}$

Step 2

Combine the numerators over the common denominator.

${(\frac{10 + 1}{10})}^{10}$

Step 3

Add $10$ and $1$ .

${(\frac{11}{10})}^{10}$

Step 4

Apply the product rule to $\frac{11}{10}$ .

$\frac{11^{10}}{10^{10}}$

Step 5

Raise $11$ to the power of $10$ .

$\frac{25937424601}{10^{10}}$

Step 6

Raise $10$ to the power of $10$ .

$\frac{25937424601}{10000000000}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{25937424601}{10000000000}$

Decimal Form:

$2.59374246 \dots$