3 to the power of 8, written as 38, means that you multiply 3 by itself a total of 8 times. In mathematical terms, it looks like this:
38 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3
If we calculate this step by step:
- 3 × 3 = 9
- 9 × 3 = 27
- 27 × 3 = 81
- 81 × 3 = 243
- 243 × 3 = 729
- 729 × 3 = 2187
So, when you continue this multiplication, you will find that:
38 = 6561
Therefore, 3 to the power of 8 is equal to 6561.