Simplify: `[{((-1)/4)^2}^(-2)]^(-1)`

Explanation

To simplify the expression \(\left[ \left( \frac{-1}{4} \right)^2 \right]^{-2}\) and then raise it to the power of \(-1\), we can follow these steps:

### Step 1: Simplify the inner exponent
Start by simplifying the inner expression \(\left( \frac{-1}{4} \right)^2\).

\[ \left( \frac{-1}{4} \right)^2 = \frac{(-1)^2}{4^2} = \frac{1}{16} \]
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