Let \(P = 5^{1/5} \cdot 25^{1/25} \cdot 125^{1/125} \cdot 625^{1/625} \dotsm\)
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.
As follows:
You can now complete the problem.
(The £ sign in the 6'th line should be a 3 of course!!)
+12 
