Determine the value of 4^1/3.4^1/9.4^1/27.....…till infinity

Product of terms = (4)^{1/3 + 1/9 + 1/27 + ... to infinity)

1/3 + 1/9 + 1/27 + ... to infinity = (1/3)/(1 - 1/3) = 1/2

product = 4^{1/2) = 2