Which of the following is the smallest among $ (14)^{\frac{1}{3}}, (12)^{\frac{1}{2}},(16)^{\frac{1}{6}}$ & $(25)^{\frac{1}{12}}$?

$(25)^{\frac{1}{12}}$

Which of the following is the smallest among $ (14)^{\frac{1}{3}}, (12)^{\frac{1}{2}},(16)^{\frac{1}{6}}$ & $(25)^{\frac{1}{12}}$ = 

Multiply power by 12 or take the LCM of powers = 12

= (14)^1/3 = (14)^12/3 = (14)⁴

= (12)^1/2 = (12)^12/2 = (12)⁶

= (25)^1/12 = (25)^12/12 = (25)¹

= (16)^1/6 = (16)^12/6 = (16)²

So, $(25)^{\frac{1}{12}}$ is the smallest.