Question

Simply sixteen squared divided by four cubed

Answer 1

You mean "Simplify 16²÷4³?"
16²=16*16,  16= 4*4
4³=4*4*4
so:
Simplify: 16²  = 16*16 =  4*4*4*4 = 4 = 4
               4³  =  4*4*4 =    4*4*4     1
OR
256 ÷ 64 = 4

Answer 2

16^2=4^4
4^3=4^3
So you can take out 4^3 from both, which simply puts it at 4