Which of the following is (are) not equal to `{(5/6)^(1/5)}^(-1/6)\ ` ? `(a)\ (5/6)^(1/5-1/6)` `(b)\ 1/({(5)^(1/5)}^(1/6))` `(c)\ (6/5)^(1/(30))` `(d)\ (5/6)^(-1/(30))`

Explanation

To solve the problem, we need to evaluate the expression \(\left(\frac{5}{6}\right)^{\left(\frac{1}{5}\right)^{-\frac{1}{6}}}\) and check which of the options (a), (b), (c), and (d) are not equal to it.

### Step-by-Step Solution:

1. **Evaluate the given expression:**
\[ \left(\frac{5}{6}\right)^{\left(\frac{1}{5}\right)^{-\frac{1}{6}}} \]
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