To find out to what power 9 must be raised to equal 729, we can express this as an equation: 9^x = 729.
We know that 729 can also be expressed as a power of 9. In fact, if we break down 729, we can see that:
- 9 is equal to 3^2.
- Thus, 9^2 = (3^2)^2 = 3^4 = 81.
- This implies that 9^3 = (3^2)^3 = 3^6 = 729.
Therefore, raising 9 to the power of 3 gives us 729. Thus, 9^3 = 729.
In conclusion, the answer is that 9 to the power of 3 equals 729.