PLEASE HELP I have been trying to figure this out for a really long time and I want to get the best grade on my test !

Answer:
see below
Step-by-step explanation:
[tex]-4^{2} =-16\\\\-\sqrt{4} =-2\\\\\sqrt{4^{2} } =4\\\\-2\sqrt{4} =-4\\\\(-4)^{2} =16\\\\\sqrt{1/4} =1/2[/tex]
so the order
-16
-4
-2
1/2
4
16
in root forms and exponent
[tex]-4^{2} \\\\-2\sqrt{4} \\\\-\sqrt{4} \\\\\sqrt{\frac{1}{4} } \\\\\sqrt{4^{2} } \\\\(-4 )^{2}[/tex]