I need the answers and the explanation as to how you got them.

1 to the 3/5 power
16 to the 5/4 power
27 to the 1/3 power
(81 to the 1/4 power) + (4 to the 1/2 power)
(343 to the 2/3 power) + (32 to the 2/5 power)
100 to the 1/2 power