Number of prime factors in `(216)^(3/5)xx(2500)^(2/5)xx(300)^(1/5)` is

Number of prime factor of (216)^(3//5)xx(2500)^(2//5)xx(300)^(1//5) is

The number of prime factors in ((1)/(6))^(12)xx(8)^(25)xx((3)/(4))^(15) is

No of prime factors in 25^(16)xx5^(17)xx12^(18)

Find the total number of prime factors in 2^(17) xx 6^(31) xx 7^(5) xx 10^(11) xx 11^(10) xx (323)^(23) .