Calculate 13^4: Converting Power to Integer Form

Write the following as an integer:

$13^4=$

To solve this problem, we will perform step-by-step calculations to find $13^4$:

• Step 1: Calculate $13^2$. We have $13 \times 13 = 169$.
• Step 2: Calculate $13^3$ using the result from Step 1. We multiply $169 \times 13$. Performing the multiplication:
  $169 \times 13 = 169 \times (10 + 3) = 169 \times 10 + 169 \times 3 = 1690 + 507 = 2197$.
• Step 3: Calculate $13^4$ using the result from Step 2. Multiply $2197 \times 13$. Performing the multiplication:
  $2197 \times 13 = 2197 \times (10 + 3) = 2197 \times 10 + 2197 \times 3 = 21970 + 6591 = 28561$.

Therefore, the value of $13^4$ is 28561, which corresponds to choice (2).