Let's evaluate each of the numbers first:
- |4| = 4
- sqrt(9) = 3
- -3 = -3
- |-5| = 5
- -3^6 = -729 (because negative exponentiation takes precedence over multiplication)
- 2^3 = 8
Now, let's list the evaluated values:
- 4
- 3
- -3
- 5
- -729
- 8
Next, we will order them from smallest to largest:
- -729
- -3
- 3
- 4
- 5
- 8
So, the ordered list from smallest to largest is:
- -3^6 = -729
- -3
- sqrt(9) = 3
- |4| = 4
- |-5| = 5
- 2^3 = 8