To find the value of 7 raised to the power of 7, you simply multiply 7 by itself a total of 6 additional times. This can be represented as:
77 = 7 × 7 × 7 × 7 × 7 × 7 × 7
Let’s break this down step by step:
- First, calculate 7 × 7 = 49
- Next, take that result and multiply it by 7 again: 49 × 7 = 343
- Then, multiply by 7 again: 343 × 7 = 2401
- Continue multiplying by 7: 2401 × 7 = 16807
- Finally, multiply once more: 16807 × 7 = 117649
Thus, the total value of 77 is 117649. This calculation shows just how exponential growth works, as the number quickly becomes quite large!