Question

Simplify the following expression:

√(1/4) + 0.01^(-1/2) - 27^(2/3)
A) 0.5 + 0.1 - 9
B) 0.25 + 0.1 - 9
C) 0.5 + 0.001 - 9
D) 0.25 + 0.001 - 9

Answer 1

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.

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