Answer
See graph and operations below.
Work Step by Step
Start with $y=x^5$$
(a) shift left 5 units;
(b) stretch (a) by a factor of 2 and shift down 64 units;
(c) shift right 2 units, shrink vertically by a factor of 2, and reflect around the x-axis;
(d) shift (c) up 16 units.