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Question
Evaluate the following:
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
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Solution
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
= `(1/2^2)^(1/2) + (0.1)^-1 - 3^2`
= `(1/2) + (0.1)^-1 - 3^2`
= `(1)/(2) + (1)/(0.1) - 9`
= `(1)/(2) + (10)/(1) - 9`
= `(1)/(2) + 1`
= `(3)/(2)`.
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