Calculate 11³: Converting Powers to Integer Form

Write the following as an integer:

$11^3=$

To solve this problem, we'll multiply as follows:

• Step 1: Compute $11 \times 11 = 121$.

• Step 2: Take the result from Step 1 and multiply it by 11 again: $121 \times 11$.

Let's perform the multiplication for Step 2:

To calculate $121 \times 11$, we can use a standard multiplication method:

• 121
  ×11
  ----

• From the rightmost digit: $1 \times 1 = 1$.

• Next: $1 \times 2 = 2$. Add the carried over part (none here, so just 2).

• Finally: $1 \times 1 = 1$.

Thus, the basic multiplication gives us 121. Now multiply by 10 (shift left):

• Shifted 121 becomes 1210 (since it represents $121 \times 10$).

• Add these values:
  121
  +1210
  -----
  1331

Therefore, the solution to $11^3$ is 1331.