Simplify : `(2^(-1)-:5^(-1))^2xx\ ((-5)/8)^(-1)`

Explanation

To simplify the expression \((2^{-1} - 5^{-1})^2 \times \left(-\frac{5}{8}\right)^{-1}\), we will follow these steps:

### Step 1: Rewrite the negative powers
Using the property that \(a^{-n} = \frac{1}{a^n}\), we can rewrite the expression:
\[ 2^{-1} = \frac{1}{2} \quad \text{and} \quad 5^{-1} = \frac{1}{5} \]
So, we have:
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