3 to the 12th power, or 312, is calculated by multiplying the number 3 by itself 11 more times. This can also be expressed as:
- 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3
To compute this, one can break it down step by step:
- 32 = 9
- 33 = 27
- 34 = 81
- 35 = 243
- 36 = 729
- 37 = 2187
- 38 = 6561
- 39 = 19683
- 310 = 59049
- 311 = 177147
- 312 = 531441
Therefore, 3 to the 12th power equals 531441. This demonstrates how exponential growth works; just a small base number, when raised to a high power, can result in a significantly large number.