​ Which of the following is (are) not equal to {(5/6)^1/5}^1/6 ? ​

Question

Which of the following is (are) not equal to \(\{(\cfrac{5}{6})^{\cfrac{1}{5}}\}^{-\cfrac{1}{6}}\)?

A. \(\{(\cfrac{5}{6})^{\cfrac{1}{5}}\}^{-\cfrac{1}{6}}\)

B.\(\cfrac{1}{\{(\cfrac{5}{6}){^\cfrac{1}{5}\}}^\cfrac{1}{6}}\)

C. \((\cfrac{6}{5})^\frac{1}{30}\)

D. \((\cfrac{5}{6})^{-\frac{1}{30}}\) 

Answer 1

\(\{(\cfrac{5}{6})^{\cfrac{1}{5}}\}^{-\cfrac{1}{6}}\)

= 1 / {(5/6) ^1/5} ^1/5 

= (5/6) ^-1/30 

= (6/5) ^1/30