Question

Is (1/3) to the power of 4 greater than (1/3) to power of 0

Answer 1

Nope. 1/3 to the power of 0 is greater.

Answer 2

when (1/3) is multiplied repeatedly by (1/3), the number gets smaller

for example:
(1/3) x (1/3) = 1/9

so (1/3) to the 0 power is greater