To order the numbers from smallest to largest, we first need to evaluate each expression:
- \(7\) is just \(7\).
- \(\sqrt{16} = 4\).
- \(-5\) is just \(-5\).
- \(|-2| = 2\) (the absolute value of \(-2\)).
- \(3^2 = 9\).
- \(2^3 = 8\).
Now, we have the following numbers to order:
- \(-5\)
- \(2\)
- \(4\)
- \(7\)
- \(8\)
- \(9\)
Now, we can arrange these numbers from smallest to largest:
Smallest to Largest: \(-5, 2, 4, 7, 8, 9\)