Calculate 11³: Converting Powers to Integer Form

Question

Write the following as an integer:

113= 11^3=

Video Solution

Solution Steps

00:00 Solve
00:03 We'll use the power formula
00:06 Any number (X) to the power of (N)
00:09 equals X multiplied by itself N times
00:21 We'll use this formula in our exercise
00:26 We'll break down the power into multiplications
00:39 We'll calculate the multiplications
00:46 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Compute 11×11=12111 \times 11 = 121.

  • Step 2: Take the result from Step 1 and multiply it by 11 again: 121×11121 \times 11.

Let's perform the multiplication for Step 2:

To calculate 121×11121 \times 11, we can use a standard multiplication method:

  • 121
    ×11
    ----

  • From the rightmost digit: 1×1=11 \times 1 = 1.

  • Next: 1×2=21 \times 2 = 2. Add the carried over part (none here, so just 2).

  • Finally: 1×1=11 \times 1 = 1.

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

  • Shifted 121 becomes 1210 (since it represents 121×10121 \times 10).

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

Therefore, the solution to 11311^3 is 1331.

Answer

1331