Let
\(P = (7^{1/3})(7^{1/9})(7^{1/27}) \dotsm\)
Then P can be expressed in the form a^(b/c) where a, b, and c are positive integers. Find the smallest possible value of a+b+c.
Very similar solved problem here:
https://web2.0calc.com/questions/product_4
