Let's first evaluate each of the numbers you've provided:
- \( | -4 | = 4 \)
- \( \sqrt{9} = 3 \)
- \( -3 = -3 \)
- \( | 5 | = 5 \)
- \( -3^2 = -9 \) (Note that this is \( -(3^2) \), which equals -9)
- \( 2^3 = 8 \)
Now, let's list these evaluated numbers:
- \( -9 \)
- \( -3 \)
- \( 3 \)
- \( 4 \)
- \( 5 \)
- \( 8 \)
Now, we can order these numbers from smallest to largest:
- \( -9 \)
- \( -3 \)
- \( 3 \)
- \( 4 \)
- \( 5 \)
- \( 8 \)
So, the ordered list is:
\[ -9, -3, 3, 4, 5, 8 \]