Simplify: `sqrt(1/4)+(0. 01)^(-1/2)-(27)^(2/3)`

Explanation

To simplify the expression \( \sqrt{\frac{1}{4}} + (0.01)^{-\frac{1}{2}} - (27)^{\frac{2}{3}} \), we will break it down into three parts and simplify each one step by step.

### Step 1: Simplify \( \sqrt{\frac{1}{4}} \)
The square root of a fraction can be simplified as follows:
\[ \sqrt{\frac{1}{4}} = \frac{\sqrt{1}}{\sqrt{4}} = \frac{1}{2} \]

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