3 to the 6th power, written as 36, means multiplying the number 3 by itself six times. To calculate this, we can break it down as follows:
- 3 x 3 = 9
- 9 x 3 = 27
- 27 x 3 = 81
- 81 x 3 = 243
- 243 x 3 = 729
So, 36 equals 729. In summary, when you raise a number to a power, you’re essentially increasing the number through repeated multiplication, and in this case, 3 multiplied by itself a total of six times results in 729.