Final answer:
The given expression √(1/4) + 0.01^(-1/2) - 27^(2/3) simplifies to 0.5 + 10 - 9 which equals 1.5. None of the given options matches this result.
Step-by-step explanation:
The given expression is √(1/4) + 0.01^(-1/2) - 27^(2/3). We are asked to simplify this expression.
First, we will start with √(1/4) which gives us 0.5. So, the new expression is 0.5 + 0.01^(-1/2) - 27^(2/3).
Next, 0.01^(-1/2) gives us 10. So, the new expression is now 0.5 + 10 - 27^(2/3).
Finally, 27^(2/3) will simplify to 9. Therefore, the final simplified version of the expression is 0.5 + 10 - 9.
Summing up the values gives us 1.5, not found in any of the given options. There may be a mistake in the original question or the options provided.
Learn more about Simplifying Expressions